Question : The mean proportional of $a$ and $b$ is $c$. What is the mean proportion of $a^2c$ and $b^2c$?
Option 1: $c$
Option 2: 3$c$
Option 3: $c^3$
Option 4: $c^2$

Question

Question : The mean proportional of $a$ and $b$ is $c$. What is the mean proportion of $a^2c$ and $b^2c$?

Option 1: $c$

Option 2: 3$c$

Option 3: $c^3$

Option 4: $c^2$

Team Careers360 · Accepted Answer

Correct Answer: $c^3$

Solution : $c^2 = ab$
where c is the mean proportion of a and b
Now, the mean proportion of $a^2c$ and $b^2c$
= $\sqrt{b^2c imes a^2c}$
= $a.b.c$
= $c^2 imes c$
= $c^3$
Hence, the correct answer is $c^3$.

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Question : The mean proportional of a and b is c. What is the mean proportion of a2c and b2c?Option 1: cOption 2: 3cOption 3: c3Option 4: c2

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Question : The mean proportional of $a$ and $b$ is $c$ . What is the mean proportion of $a^{2} c$ and $b^{2} c$ ?
Option 1: $c$
Option 2: 3 $c$
Option 3: $c^{3}$
Option 4: $c^{2}$