Home / 83,016-129,708

Finding the Third Proportional to 83,016 and 129,708

Calculator

Solution

The third proportional to 83,016 and 129,708 is: 202,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,016 : 129,708 = 129,708 : x
  2. Step 2: Convert to fraction form
    83,016/129,708 = 129,708/x
  3. Step 3: Cross multiply
    83,016x = 129,708 × 129,708
  4. Step 4: Simplify right side
    83,016x = 16,824,165,264
  5. Step 5: Solve for x
    x = 16,824,165,264/83,016
  6. Step 6: Final answer
    x = 202,661.72

Related Problems

Find third proportional to 41,508 and 64,854
Half scale
Find third proportional to 166,032 and 259,416
Double scale
Find third proportional to 83,018 and 129,711
Similar ratio
Find third proportional to 124,524 and 194,562
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.