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Finding the Third Proportional to 87,746 and 127,635

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Solution

The third proportional to 87,746 and 127,635 is: 185,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,746 : 127,635 = 127,635 : x
  2. Step 2: Convert to fraction form
    87,746/127,635 = 127,635/x
  3. Step 3: Cross multiply
    87,746x = 127,635 × 127,635
  4. Step 4: Simplify right side
    87,746x = 16,290,693,225
  5. Step 5: Solve for x
    x = 16,290,693,225/87,746
  6. Step 6: Final answer
    x = 185,657.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.