Question

if the product of three consecutive integers is 64, then their mean proportional is..............

Answer 1

Three numbers ‘a’, ‘b’ and ‘c’ are said to be continued proportion if a, b and c are in proportion. 
Thus, if a, b and c are in continued-proportion, then 
a,b,b,c are in proportion, that means 
a : b : : b : c 
⇒ Product of extremes = Product of means 
⇒ a x c = b x b 
⇒ a x c = b2 
Continued-proportion is also known as mean proportional .
If ‘b’ is a mean proportional between a and c then b2 = ac..
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