Home / 82,021-133,931

Finding the Third Proportional to 82,021 and 133,931

Calculator

Solution

The third proportional to 82,021 and 133,931 is: 218,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,021 : 133,931 = 133,931 : x
  2. Step 2: Convert to fraction form
    82,021/133,931 = 133,931/x
  3. Step 3: Cross multiply
    82,021x = 133,931 × 133,931
  4. Step 4: Simplify right side
    82,021x = 17,937,512,761
  5. Step 5: Solve for x
    x = 17,937,512,761/82,021
  6. Step 6: Final answer
    x = 218,694.15

Related Problems

Find third proportional to 41,010.50 and 66,965.50
Half scale
Find third proportional to 164,042 and 267,862
Double scale
Find third proportional to 82,023 and 133,934
Similar ratio
Find third proportional to 123,031.50 and 200,896.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.