Geometry-8th gr

posted by .

The geometric mean x of two numbers is the positive value of x that satisfies the proportion a/x =x/b, where a and b are given. Find the geometric mean of 16 and 9.

  • Geometry-8th gr -

    16/x = x/9 , cross-multiply
    x^2= 144
    x = √144 = 12

    check:
    16/12 = 4/3
    12/9 = 4/3

  • Geometry-8th gr -

    Thanks. So the geometric mean for 16 and 9 is 4/3?

  • Geometry-8th gr -

    NOOO, the geometric mean is 12

    I merely showed that 12 is correct
    and satisfied your given proportion
    a/x = x/b

    the 3 numbers are:
    16 , 12 , 9 , with 12 as the geometric mean

  • Geometry-8th gr -

    Oh okay...thanks.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometric mean

    The geometric mean of two postitive numbers a and b is sqrt(ab). Show that for f(x) = 1/x on any interval [a,b] of positive numbers, the value of c in the conclusion of the mean value theorem is c = sqrt(ab) I have no idea how to do …
  2. math

    What is the difference between geometric mean and arithmetic mean?
  3. math

    if the arithmetic mean of 2 positive numbers (a and b) is 16 and their geometric mean is 12, find the exact value of a^3+b^3.
  4. Math *URGENT

    Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646?
  5. arithmetic

    1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term …
  6. arithmetic

    1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term …
  7. geometry

    in the proportion 2/8=8/32, which numbers is the geometric mean of the other two numbers?
  8. algebra

    1. The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term. 2. Insert a geometric mean between k and 1/k. 3. If 2 and 3 are two geometric means between m and n, fond …
  9. h.p.

    the arithmetic mean of two numbers exceeds the geometric mean by 3/2 and geometric mean excceeds the harmonic mean by 6/5. find the numbers.
  10. maths

    if the geometric mean of two numbers x and y is 6 find the geometric mean of the four numbers x,y,9x,9y

More Similar Questions