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Finding the Third Proportional to 39,843 and 87,165

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Solution

The third proportional to 39,843 and 87,165 is: 190,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843 : 87,165 = 87,165 : x
  2. Step 2: Convert to fraction form
    39,843/87,165 = 87,165/x
  3. Step 3: Cross multiply
    39,843x = 87,165 × 87,165
  4. Step 4: Simplify right side
    39,843x = 7,597,737,225
  5. Step 5: Solve for x
    x = 7,597,737,225/39,843
  6. Step 6: Final answer
    x = 190,691.90

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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.