Five number are in continued proportion. The first term is 5 are the last is 8o. Find these numbers. .
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Continued proportion : 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
Product of extremes = Product of means
⇒ a x c = b x b
⇒ a x c = b 2
Continued-proportion is also known as mean proportional .
If ‘b’ is a mean proportional between a and c then b 2 = ac.
Examples :
1) Find the mean proportional between 9 and 25.
Solution :
Let x be the mean proportional between 9 and 25.
⇒ x 2 = 9 x 25
⇒ x 2 = 225
⇒ x = 15
Hence, the mean proportional between 9 and 25 is 15.
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