Home / 51,952-75,984

Finding the Third Proportional to 51,952 and 75,984

Calculator

Solution

The third proportional to 51,952 and 75,984 is: 111,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952 : 75,984 = 75,984 : x
  2. Step 2: Convert to fraction form
    51,952/75,984 = 75,984/x
  3. Step 3: Cross multiply
    51,952x = 75,984 × 75,984
  4. Step 4: Simplify right side
    51,952x = 5,773,568,256
  5. Step 5: Solve for x
    x = 5,773,568,256/51,952
  6. Step 6: Final answer
    x = 111,132.74

Related Problems

Find third proportional to 25,976 and 37,992
Half scale
Find third proportional to 103,904 and 151,968
Double scale
Find third proportional to 51,954 and 75,987
Similar ratio
Find third proportional to 77,928 and 113,976
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.