Advertisements
Advertisements
Question
Find the third proportional to 5, 10
Advertisements
Solution
Let x be the third proportional to 5, 10,
then 5 : 10 :: 10 : x
∴ 5 × x = 10 x 10
⇒ x = `(10 xx 10)/(5)`
= 20
∴ Third proportional = 20.
APPEARS IN
RELATED QUESTIONS
If (a2 + b2)(x2 + y2) = (ax + by)2; prove that: `a/x = b/y`.
If a, b and c are in continued proportion, prove that `(a^2 + ab + b^2)/(b^2 + bc + c^2) = a/c`
Using properties of proportion, solve for x:
`(sqrt(x + 5) + sqrt(x - 16))/(sqrt(x + 5) - sqrt(x - 16)) = 7/3`
Find the third proportion to the following :
(x - y) and m (x - y)
If `a = (b + c)/(2), c = (a + b)/(2)` and b is mean proportional between a and c, prove that `(1)/a + (1)/c = (1)/b`.
Show that the following numbers are in continued proportion:
48, 60, 75
If a, b, c are in continued proportion, prove that: a : c = (a2 + b2) : (b2 + c2)
Write the mean and extreme terms in the following ratios and check whether they are in proportion.
400 gm is to 50 gm and 25 rupees is to 625 rupees
Sleeping time of a python in a 24 hour clock is represented by the shaded portion in the following figure.
The ratio of sleeping time to awaking time is ______.
If a, b, c and d are in proportion, the value of `(8a^2 - 5b^2)/(8c^2 - 5d^2)` is equal to ______.
