Compound and Inverse Ratio

Compound Ratio

Ratios are compounded by multiplying together the Antecedents for a new Antecedent and the Consequent for a new Consequent.


Example

Let 3:2, 4:5, 2:7 are the three Ratios.

The multiplication result of the Antecedents of these three ratios is = 3 x 4 x 2 = 24

The multiplication result of the Consequent of these three ratios is = 2 x 5 x 7 = 70

The resultant Compound Ratio = 24:70 = 12:35


Duplicate Ratio

It is the compounded ratio of two equal ratios.

Example

4  is called the Duplicate ratio of  2
93

Sub-Duplicate Ratio

It is the inverse of Duplicate Ratio.

Example

4  is called the Sub-duplicate ratio of  16
525


Triplicate Ratio

It is the compounded ratio of three equal ratios.

Example

8  is called the Triplicate ratio of  2
273

Sub-Triplicate Ratio

It is the inverse of triplicate ratio.

Example

3  is called the Sub-triplicate ratio of  27
464

Inverse Ratio

If the Antecedent and Consequent of a simple ratio changes their place with each other, then the resultant ratio is called the Inverse of that ratio.

Example

Let, 10:13 as a simple ratio.

Then 13:10 is the Inverse ratio of 10:13.


Note:

Previously we discuss about simple Ratios.

Ratio between two or more than two quantities is also possible.

Example

The Ratio of the Length, width and height of a house is (All in metre) = 9:7:6