Continued Proportion –
We say that a, b, c, d, e, f, etc are in the continued proportion,
a b c d e
if ------ = ------ = ------ = ------ = ------
b c d e f
Example) If x², 5 & 9 are in continued proportion, then find ‘x’
Ans.) Given, x², 4 & 9 are in continued proportion
x² 5
So, --------- = ----------
5 9
5 X 5 25
=> x² = ---------- = -------
9 9
5² 5
=> x² = ------- = (-------)²
3² 3
5 5
=> x = √(-------)² = ---------
3 3
So, the required number is 5/3. (Ans.)
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