If 68 is the mean proportion between x and 272, what is the value of x?

Correct option is A

Given:

68 is the mean proportional between x and 272.

Formula Used:

Mean proportional (geometric mean):

If m is mean proportional between a and b, then $$m^2$$​= ab.

Solution:
Here, m = 68, a = x, b = 272.
6$$8^2 = x \times 272$$​​

x =$$\frac{68^2}{272}$$​​

x =$$\frac{4624}{272} =$$​17