The mean proportional between 64 and 81 is?
- 48
- 72
- 68
- None of these
Explanation
The mean proportional between two numbers a and b is a number x such that: a : x :: x : b
In this case, we want to find the mean proportional between 64 and 81.
Let's set up the proportion: 64 : x :: x : 81
We can rewrite this as: 64/x = x/81
Cross-multiplying, we get: 64 × 81 = x^2
Simplifying, we get: 5184 = x^2
Taking the square root of both sides, we get:
x = √5184
x = 72
So, the mean proportional between 64 and 81 is 72.
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