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 |
| 9 | 3 |
Sub-Duplicate Ratio
It is the inverse of Duplicate Ratio.
Example
| 4 | is called the Sub-duplicate ratio of | 16 |
| 5 | 25 |
Triplicate Ratio
It is the compounded ratio of three equal ratios.
Example
| 8 | is called the Triplicate ratio of | 2 |
| 27 | 3 |
Sub-Triplicate Ratio
It is the inverse of triplicate ratio.
Example
| 3 | is called the Sub-triplicate ratio of | 27 |
| 4 | 64 |
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 meter) = 9:7:6
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