Question 57
If the mean proportional of $$b, c$$ and the $$4^{th}$$ proportional of $$a, b, c$$ are both equal to 8, then $$abc$$ =
Solution
mean proportion of b,c is$$\sqrt{bc\ }=8.$$
or,$$bc=64.$$
And, $$a:b=c:8.$$
then,$$a=\frac{\ bc}{8}=\frac{64\ }{8}=8.$$
So,$$abc=8\times64=2^9.$$
A is correct choice.
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