Advertisements
Advertisements
प्रश्न
Find the third proportional to `5(1)/(4) and 7.`
Advertisements
उत्तर
Let x be the third proportional to `5(1)/(4) and 7`
then `5(1)/(4) : 7 : : 7 : x`
⇒ `(21)/(7) : 7 : : 7 : x`
∴ `(21)/(4) xx x` = 7 x 7
x = `(7 xx 7 xx 4)/(21)`
= `(28)/(3)`
= `9(1)/(3)`
∴ Third proportional = `9(1)/(3)`.
APPEARS IN
संबंधित प्रश्न
if `a/b = c/d` prove that each of the given ratio is equal to: `((8a^3 + 15c^3)/(8b^3 + 15d^3))^(1/3)`
If `x/a = y/b = z/c` prove that `(2x^3 - 3y^3 + 4z^3)/(2a^3 - 3b^3 + 4c^3) = ((2x - 3y + 4z)/(2a - 3b + 4c))^3`
Find two numbers such that the mean proportional between them is 14 and third proportional to them is 112.
Find the mean proportional of the following:
17.5, 0.007
If u, v, w, and x are in continued proportion, then prove that (2u+3x) : (3u+4x) : : (2u3+3v3) : (3u3+4v3)
`("pqr")^2 (1/"p"^4 + 1/"q"^4 + 1/"r"^4) = ("p"^4 + "q"^4 + "r"^4)/"q"^2`
If a, b, c and dare in continued proportion, then prove that
ad (c2 + d2) = c3 (b + d)
If 57 : x : : 51 : 85, then the value of x is
If Rs 760 is divided between A and B in the ratio 8 : 11, then B's share is
The angles of a triangle are in the ratio 3 : 1 : 2. The measure of the largest angle is
A picture frame’s length and width are in the ratio 4 : 3. If the length is 28 cm, what is the width?
