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Finding the Third Proportional to 60,147 and 129,921

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Solution

The third proportional to 60,147 and 129,921 is: 280,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,147 : 129,921 = 129,921 : x
  2. Step 2: Convert to fraction form
    60,147/129,921 = 129,921/x
  3. Step 3: Cross multiply
    60,147x = 129,921 × 129,921
  4. Step 4: Simplify right side
    60,147x = 16,879,466,241
  5. Step 5: Solve for x
    x = 16,879,466,241/60,147
  6. Step 6: Final answer
    x = 280,636.88

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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.