The mean proportional of a and b is c. What is the mean proportional of a2c and b2c ?
Answer & explanation
Correct answer: option 3
Mean proportion c = \(\sqrt {ab }\)
⇒ c² = ab
Mean proportion of a2c and b2c = \(\sqrt {a^2c\; \times\; b^2c }\) = \(\sqrt {a^2b^2c^2}\) = abc = c².c = c³