Advertisements
Advertisements
Question
Write the mean and extreme terms in the following ratios and check whether they are in proportion.
78 litre is to 130 litre and 12 bottles is to 20 bottles
Advertisements
Solution
78 : 130, 12 : 20
Product of the means = 78 × 20
= 1560
Product of the extremes = 130 × 12
= 1560
a × d = b × c
∴ They are in proportion
APPEARS IN
RELATED QUESTIONS
Find the value of the unknown in the following proportion :
5 : 12 :: 15 : x
Using the properties of proportion, solve for x, given. `(x^4 + 1)/(2x^2) = (17)/(8)`.
If a, b, c, d are in continued proportion, prove that:
`sqrt(ab) - sqrt(bc) + sqrt(cd) = sqrt((a - b + c) (b - c + d)`
If `x/a = y/b = z/c`, show that `x^3/a^3 - y^3/b^3 = z^3/c^3 = (xyz)/(zbc).`
If a, 12, 16 and b are in continued proportion find a and b.
Find two numbers such that the mean proportional between them is 28 and the third proportional to them is 224.
Show that the following numbers are in continued proportion:
36, 90, 225
If `x/a = y/b = z/c`, prove that `x^3/a^2 + y^3/b^2 + z^3/c^2 = (x+ y+ z)^3/(a + b+ c)^2`
If a, b, c, d are in continued proportion, prove that: `((a - b)/c + (a - c)/b)^2 - ((d - b)/c + (d - c)/b)^2 = (a - d)^2 (1/c^2 - 1/b^2)`.
If b : a = c : d, then a, b, c, d are in proportion.
