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Finding the Third Proportional to 59,987 and 129,055

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Solution

The third proportional to 59,987 and 129,055 is: 277,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,987 : 129,055 = 129,055 : x
  2. Step 2: Convert to fraction form
    59,987/129,055 = 129,055/x
  3. Step 3: Cross multiply
    59,987x = 129,055 × 129,055
  4. Step 4: Simplify right side
    59,987x = 16,655,193,025
  5. Step 5: Solve for x
    x = 16,655,193,025/59,987
  6. Step 6: Final answer
    x = 277,646.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.