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Finding the Third Proportional to 41,376 and 86,802

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Solution

The third proportional to 41,376 and 86,802 is: 182,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,376 : 86,802 = 86,802 : x
  2. Step 2: Convert to fraction form
    41,376/86,802 = 86,802/x
  3. Step 3: Cross multiply
    41,376x = 86,802 × 86,802
  4. Step 4: Simplify right side
    41,376x = 7,534,587,204
  5. Step 5: Solve for x
    x = 7,534,587,204/41,376
  6. Step 6: Final answer
    x = 182,100.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.