The mean proportional of x and y is z, What is the mean proportional of x²z and y²z?

Correct option is C

Given:
The mean proportional of x and y is z.
Concept Used:
Mean proportional between two numbers a and b = $$\sqrt {a × b}$$​​
Solution:
The mean proportional of x and y is z.
​$$\sqrt {x × y}$$​ = z
xy = $$z^2$$​​
Mean proportional of x²z and y²z = $$\sqrt{x^2z \times y^2z} = \sqrt{x^2y^2z^2} = xy \times z = z^2 \times z = z^3$$​​
The mean proportional of x²z and y²z is $$z^3$$​​