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Finding the Third Proportional to 78,934 and 118,493

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Solution

The third proportional to 78,934 and 118,493 is: 177,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,934 : 118,493 = 118,493 : x
  2. Step 2: Convert to fraction form
    78,934/118,493 = 118,493/x
  3. Step 3: Cross multiply
    78,934x = 118,493 × 118,493
  4. Step 4: Simplify right side
    78,934x = 14,040,591,049
  5. Step 5: Solve for x
    x = 14,040,591,049/78,934
  6. Step 6: Final answer
    x = 177,877.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.