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Finding the Third Proportional to 87,408 and 187,560

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Solution

The third proportional to 87,408 and 187,560 is: 402,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,408 : 187,560 = 187,560 : x
  2. Step 2: Convert to fraction form
    87,408/187,560 = 187,560/x
  3. Step 3: Cross multiply
    87,408x = 187,560 × 187,560
  4. Step 4: Simplify right side
    87,408x = 35,178,753,600
  5. Step 5: Solve for x
    x = 35,178,753,600/87,408
  6. Step 6: Final answer
    x = 402,466.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.