Comparisons of Ratios-Compound Ratio

The compound ratio is the ratio that can be obtained by the compounding of two ratios or more than two ratios by using the method of multiplication. It can be obtained by term-wise multiplication of two ratios or more than two ratios. The guide will be relevant since it defines all the features of the compound ratio. By the end of the assessment, descriptions about different types of mathematical formulae that can be used for the calculation of compound ratio can be gained. 

Compound Ratio Features

The features of the compound ratio are given in the following points.

• It involves the calculation of two quantities or multiple quantities
• It can be obtained by term wise multiplication procedure.
• It can be used for the comparison of more than two numbers
• It can be used for indicating the number of times a numerical can be contained in another number.
• It incorporates a fraction containing the previous number in the section of the numerator and the second number in the section of the denominator. 
• The ratio can be multiplied by 100 for obtaining the percentage.
• It can be characterized as the method for the comparison of quantities by implementing the division method.

How to find compound ratio using compound ratio formula

A compound ratio can be obtained by executing the subsequent term-wise method of multiplication of all the taken ratios. For instance, two ratios are present such as m: n and x: y, then, the compound ratio of these two ratios can be calculated as (m*x) 🙁 n*y). The compound ratio can be obtained when two more than two ratios are present. For instance, in the case of the presence of three ratios m: n, x: y, and a: b, the compound ratio can be calculated as (m*x*a) 🙁 n*y*b). As the ratio is obtained by using this formula, it is also called compounded ratio and the percentage can be obtained by multiplication of it by 100. Therefore, it can be seen using the formula of compound ratio, ratio, and percentage of any number of terms can be calculated. A numerical example has been given in the context of a compound ratio. For instance, there are two ratios such as 4:5 and 5:8, and the compound ratio of these two ratios can be calculated as (4*5): (5*8). The result obtained using this formula is 20:40 and it can be minimized to the form 1:2. Similarly, in the case of the presence of more than two ratios, the compound ratio of the numerical terms can also be obtained in the same manner. For example, in the case of 3:4, 5:6, and 8:9, the compound ratio can be calculated as (3*5*8): (4*6*9). The result obtained using this mathematical formula is 120: 216 which can be minimized to 5:9.

What is a compound ratio?

In the presence of two ratios or multiple ratios, when the antecedent has been taken as its product term of the ratios and the consequents as its products, a compound ratio can be formed. The ratio obtained using this method is known as mixed ratio and it is termed a compound ratio. A triplicate ratio can be obtained by the calculation of a compound ratio containing three equal ratio quantities. For instance, the triplicate ratio can be calculated when a ratio is present such as m:n. The triplicate ratio will be a compound ratio containing m: n, m: n, and m: n. It can be calculated as the ratio of (m*m*m): (n*n*n). 

A compound ratio must exist between the quantities having the same forms. During the comparison between two or more strings, the unit of those items needs to be the same. It can be used for the comparison of the size between two different quantities. There is no unit of a compound ratio, and therefore, it can be said that it is independent of all the units of the quantities used for the comparison purpose. The order of the terms is significant in the case of a compound ratio.

Conclusion

It can be concluded that when there is the presence of more than two quantities in the ratio, the ratio can be termed the compound ratio. A compound ratio formula is not much complex and it can be found out by the term-wise multiplication of all the terms that are present in the ratio. From a compound ratio both, the duplicate and triplicate ratio can be calculated. This type of ratio must exist between similar types of terms and it does not contain any unit of the quantities that participates in the ratio.