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Finding the Third Proportional to 87,691 and 193,255

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Solution

The third proportional to 87,691 and 193,255 is: 425,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,691 : 193,255 = 193,255 : x
  2. Step 2: Convert to fraction form
    87,691/193,255 = 193,255/x
  3. Step 3: Cross multiply
    87,691x = 193,255 × 193,255
  4. Step 4: Simplify right side
    87,691x = 37,347,495,025
  5. Step 5: Solve for x
    x = 37,347,495,025/87,691
  6. Step 6: Final answer
    x = 425,898.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.