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Finding the Third Proportional to 80,529 and 171,453

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Solution

The third proportional to 80,529 and 171,453 is: 365,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,529 : 171,453 = 171,453 : x
  2. Step 2: Convert to fraction form
    80,529/171,453 = 171,453/x
  3. Step 3: Cross multiply
    80,529x = 171,453 × 171,453
  4. Step 4: Simplify right side
    80,529x = 29,396,131,209
  5. Step 5: Solve for x
    x = 29,396,131,209/80,529
  6. Step 6: Final answer
    x = 365,037.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.