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Finding the Third Proportional to 87,408 and 191,172

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Solution

The third proportional to 87,408 and 191,172 is: 418,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,408 : 191,172 = 191,172 : x
  2. Step 2: Convert to fraction form
    87,408/191,172 = 191,172/x
  3. Step 3: Cross multiply
    87,408x = 191,172 × 191,172
  4. Step 4: Simplify right side
    87,408x = 36,546,733,584
  5. Step 5: Solve for x
    x = 36,546,733,584/87,408
  6. Step 6: Final answer
    x = 418,116.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.