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Finding the Third Proportional to 71,376 and 156,876

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Solution

The third proportional to 71,376 and 156,876 is: 344,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376 : 156,876 = 156,876 : x
  2. Step 2: Convert to fraction form
    71,376/156,876 = 156,876/x
  3. Step 3: Cross multiply
    71,376x = 156,876 × 156,876
  4. Step 4: Simplify right side
    71,376x = 24,610,079,376
  5. Step 5: Solve for x
    x = 24,610,079,376/71,376
  6. Step 6: Final answer
    x = 344,794.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.