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Finding the Third Proportional to 87,461 and 161,780

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Solution

The third proportional to 87,461 and 161,780 is: 299,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461 : 161,780 = 161,780 : x
  2. Step 2: Convert to fraction form
    87,461/161,780 = 161,780/x
  3. Step 3: Cross multiply
    87,461x = 161,780 × 161,780
  4. Step 4: Simplify right side
    87,461x = 26,172,768,400
  5. Step 5: Solve for x
    x = 26,172,768,400/87,461
  6. Step 6: Final answer
    x = 299,250.73

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.