Home / 83,542-129,301

Finding the Third Proportional to 83,542 and 129,301

Calculator

Solution

The third proportional to 83,542 and 129,301 is: 200,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542 : 129,301 = 129,301 : x
  2. Step 2: Convert to fraction form
    83,542/129,301 = 129,301/x
  3. Step 3: Cross multiply
    83,542x = 129,301 × 129,301
  4. Step 4: Simplify right side
    83,542x = 16,718,748,601
  5. Step 5: Solve for x
    x = 16,718,748,601/83,542
  6. Step 6: Final answer
    x = 200,123.87

Related Problems

Find third proportional to 41,771 and 64,650.50
Half scale
Find third proportional to 167,084 and 258,602
Double scale
Find third proportional to 83,544 and 129,304
Similar ratio
Find third proportional to 125,313 and 193,951.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.