The mean proportional of a and b is c. What is the mean proportional of a2c and b2c ? |
c 3c c3 c2 |
c3 |
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 |