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Finding the Third Proportional to 39,147 and 85,676

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Solution

The third proportional to 39,147 and 85,676 is: 187,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,147 : 85,676 = 85,676 : x
  2. Step 2: Convert to fraction form
    39,147/85,676 = 85,676/x
  3. Step 3: Cross multiply
    39,147x = 85,676 × 85,676
  4. Step 4: Simplify right side
    39,147x = 7,340,376,976
  5. Step 5: Solve for x
    x = 7,340,376,976/39,147
  6. Step 6: Final answer
    x = 187,508.03

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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.