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Finding the Third Proportional to 156,728 and 220,227

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Solution

The third proportional to 156,728 and 220,227 is: 309,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,728 : 220,227 = 220,227 : x
  2. Step 2: Convert to fraction form
    156,728/220,227 = 220,227/x
  3. Step 3: Cross multiply
    156,728x = 220,227 × 220,227
  4. Step 4: Simplify right side
    156,728x = 48,499,931,529
  5. Step 5: Solve for x
    x = 48,499,931,529/156,728
  6. Step 6: Final answer
    x = 309,452.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.