Advertisements
Advertisements
प्रश्न
Find the mean proportion of the following :
`28/3` and `175/27`
उत्तर
Let x be the mean proportion
`28/3 : "x" : : "x" : 175/27 `
`=> "x" xx "x" = 28/3 xx 175/27`
`=> "x"^2 = 4900/81`
`=> "x" = sqrt(4900/81)`
`=> "x" = 70/9`
The mean proportion is `70/9`
APPEARS IN
संबंधित प्रश्न
Find two numbers such that the mean proportional between them is 12 and the third proportional to them is 96.
If x, y, z are in continued proportion prove that `(x + y)^2/(y + z)^2 = x/z`
What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?
4.5 g of an alloy of copper and zinc contains 3.5 g of copper. What weight of copper will there be in 18.9 g of the alloy?
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"`
What number must be added to each of the numbers 15, 17, 34 and 38 to make them proportional?
Find the missing number in the box in the proportions:
`square/45 = 16/40 = 24/square`
A recipe calls for 1 cup of milk for every `2 1/2` cups of flour to make a cake that would feed 6 persons. How many cups of both flour and milk will be needed to make a similar cake for 8 people?
The length and breadth of a school ground are 150 m and 90 m respectively, while the length and breadth of a mela ground are 210 m and 126 m, respectively. Are these measurements in proportion?
Write True (T) or False (F) against the following statement:
5.2 : 3.9 : : 3 : 4