Ratio-Rule

The ratio is a term used in mathematical languages to compare the different numbers to know if they are big or small. The comparison can be made between different units in mathematics for determining the relationship between the units. This assignment will present a brief discussion about the different ratios and proportions, along with the rule of the ratio and proportion. The usage of the ratios in the different subjects as well as the usage of the ratio like golden ratio in ancient times. The ratios of making the changes and the development made from the ancient to the latest updated technology. 

4.1 Ratio rule

The ratio rule is a procedure that is followed to compare the different numbers in the same unit. The rule of making both numbers compared with the amount of their presence in a mixture of the solution. It can be used to represent the presence of one particle or material concerning other particles or material in the mixture. The representation can be in the form of a percentage for each mixture. According to the rules the ratio can be classified into two types: first in “part to part ratio and others as part to the whole ratio”. In “part to part” the ratio is denoted by two unit’s groups or the entities which are related to each other. This can be represented by the example of the ratio of boys and girls in the school or the classroom is 14:12. In this example the entities, boys and girls, are in the same category as students in the school. 

The “part to whole” form of the ratios is those ratios that can represent the relationship between the specific groups. To understand it in a better way just take an example where there are 10 men and out of those men’s 5 men like to read books. Therefore, the ratio can be formed to be 5:10 to represent the whole situation by showing the 5 men among the 10 men who are interested in reading books of the same group of 10 men.  

4.2 Ratios and proportions 

The ratio is termed as the presentation of two numbers or the quantities of the same units in the form of a fraction like A/B where, A and B are two different quantities. The fraction of the ratio can also be represented in the form of A: B. In the ratio A can be termed as antecedent or first term and B can be known as consequent or second term. The one for the rule in the ratio is that the ratio of the quantities does not change if quantities in the ratios are multiplied or divided by the same non-zero number or quantity. Suppose there is a ratio of 8:6 and the ratio is divided by the same number, 2 then the ratio remains the same. 

E.g. 8:6 = (8/2) :(6/2) = 4:3, the ratio’s value remains the same. 

If the ratio is multiplied by the same numbers, then the ratio’s values remain the same. 

E.g. 2:5 = (2*2) :(5*2) = 4:10, the ratio’s values remain the same. 

The proportion is a term that is related to the different ratios, the equality of two or more ratios is known as the proportion. The proportion of two ratios can be represented with the help of the following example:

P : Q is one ratio and R : S is another ratio, and both the ratios have the same value then the ratios can be written as P : Q = R : S. The following relation of the ratios in a proportion can be written as P : Q : R : S, where the P, Q, R, and S are in proportion. The P and S are known as extreme and, Q and Rare termed as Mean terms. In proportion, the Product of the means = Products of extreme can be written as P*S = Q*R.

4.3 Golden ratio

In the various mathematical references in nature, the golden ratio is one of the references which is used in determining nature and can be used for design purposes. Represent the ratio by dividing the line into two smaller and longer parts. The golden ratio is like ratios and the proportions which are two different terms in mathematics related to each other. The proportion is related to the ratios present in the different conditions. The golden ratio represents the artistry sense like the X-factor; the golden ratio has been used in ancient times to construct the Pyramids of Giza.  

 Conclusion

The ratios and the proportions are the terms that are used in the mathematical aspects. It is the process of making a comparison between the quantities in the form of a ratio. The brief view of the ratio and proportion helps in making the conclusion based on the different needs of the ratio and the relationship of the ratio with the proportion. Based on the discussion conclusions can be made regarding the relation of various proportions present in the proportion. These factors help in making the conclusions that the ratio and the proportion are used for different purposes.