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Finding the Third Proportional to 59,942 and 129,229

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Solution

The third proportional to 59,942 and 129,229 is: 278,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,942 : 129,229 = 129,229 : x
  2. Step 2: Convert to fraction form
    59,942/129,229 = 129,229/x
  3. Step 3: Cross multiply
    59,942x = 129,229 × 129,229
  4. Step 4: Simplify right side
    59,942x = 16,700,134,441
  5. Step 5: Solve for x
    x = 16,700,134,441/59,942
  6. Step 6: Final answer
    x = 278,604.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.