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Finding the Third Proportional to 71,379 and 156,882

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Solution

The third proportional to 71,379 and 156,882 is: 344,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,379 : 156,882 = 156,882 : x
  2. Step 2: Convert to fraction form
    71,379/156,882 = 156,882/x
  3. Step 3: Cross multiply
    71,379x = 156,882 × 156,882
  4. Step 4: Simplify right side
    71,379x = 24,611,961,924
  5. Step 5: Solve for x
    x = 24,611,961,924/71,379
  6. Step 6: Final answer
    x = 344,806.76

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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.