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Finding the Third Proportional to 87,508 and 187,408

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Solution

The third proportional to 87,508 and 187,408 is: 401,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,508 : 187,408 = 187,408 : x
  2. Step 2: Convert to fraction form
    87,508/187,408 = 187,408/x
  3. Step 3: Cross multiply
    87,508x = 187,408 × 187,408
  4. Step 4: Simplify right side
    87,508x = 35,121,758,464
  5. Step 5: Solve for x
    x = 35,121,758,464/87,508
  6. Step 6: Final answer
    x = 401,354.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.