The third proportional of numbers a and b is ab. Which of the following statements is true?

Correct option is C

Given:

The third proportional of numbers aa and bb is ab

Concept Used:

The third proportional to two numbers a and b is a number x such that:

​$$\frac{a}{b} = \frac{b}{x}$$​​

Solution:

We are told that the third proportional is ab, so:

ab = $$\frac{b^2}{a}$$​​

​$$a^2b = b^2$$​​

$$a^2$$​ = b

Therefore, the correct statement is $$a^2 = b$$​, which corresponds to option C

Thus, the correct answer is C:  $$a^2$$​= b