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Finding the Third Proportional to 18,540 and 39,870

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Solution

The third proportional to 18,540 and 39,870 is: 85,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540 : 39,870 = 39,870 : x
  2. Step 2: Convert to fraction form
    18,540/39,870 = 39,870/x
  3. Step 3: Cross multiply
    18,540x = 39,870 × 39,870
  4. Step 4: Simplify right side
    18,540x = 1,589,616,900
  5. Step 5: Solve for x
    x = 1,589,616,900/18,540
  6. Step 6: Final answer
    x = 85,739.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.