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Finding the Third Proportional to 18,682 and 39,874

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Solution

The third proportional to 18,682 and 39,874 is: 85,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682 : 39,874 = 39,874 : x
  2. Step 2: Convert to fraction form
    18,682/39,874 = 39,874/x
  3. Step 3: Cross multiply
    18,682x = 39,874 × 39,874
  4. Step 4: Simplify right side
    18,682x = 1,589,935,876
  5. Step 5: Solve for x
    x = 1,589,935,876/18,682
  6. Step 6: Final answer
    x = 85,105.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.