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Finding the Third Proportional to 18,782 and 39,866

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Solution

The third proportional to 18,782 and 39,866 is: 84,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782 : 39,866 = 39,866 : x
  2. Step 2: Convert to fraction form
    18,782/39,866 = 39,866/x
  3. Step 3: Cross multiply
    18,782x = 39,866 × 39,866
  4. Step 4: Simplify right side
    18,782x = 1,589,297,956
  5. Step 5: Solve for x
    x = 1,589,297,956/18,782
  6. Step 6: Final answer
    x = 84,618.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.