Question

The ratio 125 : x is equivalent to the ratio x^2 : 125. What is the value of x?

Answer 1

x = 25

Explanation:

The proportion can be written using fractions and solved for x in the usual way.

`(125)/(x)=(x^2)/(125)\\\\125^2=x^3\qquad\text{multiply by 125x}\\\\x=\sqrt[3]{125^2}=\sqrt[3]{5^6}=5^2\qquad\text{take the cube root}\\\\\boxed{x=25}`