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Finding the Third Proportional to 71,372 and 156,865

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Solution

The third proportional to 71,372 and 156,865 is: 344,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372 : 156,865 = 156,865 : x
  2. Step 2: Convert to fraction form
    71,372/156,865 = 156,865/x
  3. Step 3: Cross multiply
    71,372x = 156,865 × 156,865
  4. Step 4: Simplify right side
    71,372x = 24,606,628,225
  5. Step 5: Solve for x
    x = 24,606,628,225/71,372
  6. Step 6: Final answer
    x = 344,765.85

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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.