Find two geometric means between 7 and 875
Im sure one of the geometric means is 175 from what I learned.
a = 7
ar^3 = 875
r^3 = 875/7 = 125
r = 5
7 35 175 875
usuck
To find the two geometric means between two numbers, we need to find the common ratio and then calculate the geometric means using that ratio.
Step 1: Find the common ratio.
The common ratio (r) can be found by dividing the second number (875) by the first number (7):
r = 875 / 7 = 125
Step 2: Calculate the first geometric mean.
The first geometric mean (G1) can be calculated by taking the square root of the first number (7) multiplied by the common ratio (125):
G1 = √(7 × 125) = √875 = 29.53 (rounded to two decimal places)
Step 3: Calculate the second geometric mean.
The second geometric mean (G2) can be calculated by taking the square root of the first geometric mean (G1) multiplied by the common ratio (125):
G2 = √(29.53 × 125) = √3691.25 = 60.84 (rounded to two decimal places)
Therefore, the two geometric means between 7 and 875 are approximately 29.53 and 60.84.