The third proportional of  $$\frac{x^{2.5}}{y^{1.5}} \cdot z^{3.5} \quad \text{and} \quad x^{0.25} \cdot \frac{y^{0.25}}{z^{-0.25}}$$​​

Correct option is B

Given:
​$$\frac{x^{2.5}}{y^{1.5}} \cdot z^{3.5} \quad \text{and} \quad x^{0.25} \cdot \frac{y^{0.25}}{z^{-0.25}}$$​​
Formula Used: ​
For ratio a, b, c,
Third Proportional, c = $$\frac{b^2}{a}$$ 
Solution:
​$$\text{Third Proportional} = \frac{B^2}{A} \\\text{Third Proportional} = \frac{\frac{x^{0.5} y^{0.5}}{z^{-0.5}}}{\frac{x^{2.5}}{y^{1.5}} \cdot z^{3.5}} \\\\= \frac{x^{0.5} y^{0.5}}{z^{-0.5}} \cdot \frac{y^{1.5}}{x^{2.5} z^{3.5}} = \frac{x^{0.5 - 2.5} \cdot y^{0.5 + 1.5}}{z^{-0.5 + 3.5}} = \frac{ y^{2}}{z^{3}x^{2}}$$​​
​