Advertisements
Advertisements
प्रश्न
If x, 12 and 16 are in continued proportion! find x.
Advertisements
उत्तर
Since x, 12 and 16 are in continued proportion
⇒ x : 12 : : 12 : 16
⇒ 16 x = 12 x 12
⇒ 16 x = 144
⇒ x = 9
x = 9
APPEARS IN
संबंधित प्रश्न
If b is the mean proportion between a and c, show that: `(a^4 + a^2b^2 + b^4)/(b^4 + b^2c^2 + c^4) = a^2/c^2`.
Find two numbers whose mean proportional is 18 and the third proportional is 486.
If a, b, c and dare in continued proportion, then prove that
ad (c2 + d2) = c3 (b + d)
What number should be subtracted from each of the numbers 23, 30, 57 and 78 so that the remainders are in proportion ?
Determine if the following numbers are in proportion:
7, 42, 13, 78
An electric pole casts a shadow of length 20 m at a time when a tree 6 m high casts a shadow of length 8 m. Find the height of the pole.
If b is the mean proportional between a and c, prove that (ab + bc) is the mean proportional between (a² + b²) and (b² + c²).
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"`
Are the ratios 25g: 30g and 40 kg: 48 kg in proportion?
In the proportional statement p : q :: r : s, which pair of terms represents the means, and which pair represents the extremes?
