The mean Proportion of (a²)/(b³) and (9b²)/(4a³) is ______.

The mean Proportion of $\frac{a^2}{b^3}$ and $\frac{9b^2}{4a^3}$ is ______________.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. $\frac{3}{2\sqrt{ab}}$ .

Mean proportion = √[(a² / b³) × (9b² / 4a³)]

= √[(9a²b²) / (4a³b³)]

= √[(9) / (4ab)]

= 3 / (2√ab)

SSC GD 2025 PYQ — Question 45