Advertisements
Advertisements
प्रश्न
Find the third proportion to the following :
(x - y) and m (x - y)
Advertisements
उत्तर
Let z be lhe third proportion
(x - y) : m (x - y) : : m (x - y) : z
⇒ (x -y) x z - m(x - y) x m (x - y)
⇒ (x - y) z = m2 (x - y)2
⇒ z = m2 (x - y)
The third proportion is m2 (x - y) .
APPEARS IN
संबंधित प्रश्न
Find two numbers such that the mean proportional between them is 14 and third proportional to them is 112.
What number should be subtracted from each of the numbers 23, 30, 57 and 78 so that the remainders are in proportion ?
Verify the following:
60 : 105 : : 84 : 147
Find the value of x in each of the following proportions:
x : 92 : : 87 : 116
If Rs 760 is divided between A and B in the ratio 8 : 11, then B's share is
If 24 workers can build a wall in 15 days, how many days will 8 workers take to build a similar wall?
If `x/a = y/b = z/c`, prove that `[(a^2x^2 + b^2y^2 + c^2z^2)/(a^2x + b^3y +c^3z)]^3 = "xyz"/"abc"`
If a, b, c, d, e are in continued proportion, prove that: a : e = a4 : b4.
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
There is a number in the box `square` such that `square`, 24, 9, 12 are in proportion. The number in the box is ______.
