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Finding the Third Proportional to 18,231 and 39,867

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Solution

The third proportional to 18,231 and 39,867 is: 87,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231 : 39,867 = 39,867 : x
  2. Step 2: Convert to fraction form
    18,231/39,867 = 39,867/x
  3. Step 3: Cross multiply
    18,231x = 39,867 × 39,867
  4. Step 4: Simplify right side
    18,231x = 1,589,377,689
  5. Step 5: Solve for x
    x = 1,589,377,689/18,231
  6. Step 6: Final answer
    x = 87,179.95

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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.