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Finding the Third Proportional to 80,561 and 118,375

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Solution

The third proportional to 80,561 and 118,375 is: 173,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,561 : 118,375 = 118,375 : x
  2. Step 2: Convert to fraction form
    80,561/118,375 = 118,375/x
  3. Step 3: Cross multiply
    80,561x = 118,375 × 118,375
  4. Step 4: Simplify right side
    80,561x = 14,012,640,625
  5. Step 5: Solve for x
    x = 14,012,640,625/80,561
  6. Step 6: Final answer
    x = 173,938.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.