Compound and Inverse Ratio
Ratios are compounded by multiplying together the Antecedents for a new Antecedent and the Consequent for a new Consequent.
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 = 24And
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 ratio.
- Sub-Duplicate ratio = It is the inverse of Duplicate Ratio.
- Triplicate ratio: It is the compounded ratio of three equal ratios.
- Sub-triplicate ratio = It is the inverse of triplicate ratio.
|4||is called the Duplicate ratio of||2|
|4||is called the Sub-duplicate ratio of||16|
|8||is called the Triplicate ratio of||2|
|3||is called the Sub-triplicate ratio of||27|
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.
Let, 10:13 as a simple ratio.
Then 13:10 is the Inverse ratio of 10:13.
Previously we discuss about simple Ratios.
Ratio between two or more than two quantities are also possible.
The Ratio of the Length,width and height of a house is(All in metre) = 9:7:6