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Finding the Third Proportional to 18,591 and 38,718

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Solution

The third proportional to 18,591 and 38,718 is: 80,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,591 : 38,718 = 38,718 : x
  2. Step 2: Convert to fraction form
    18,591/38,718 = 38,718/x
  3. Step 3: Cross multiply
    18,591x = 38,718 × 38,718
  4. Step 4: Simplify right side
    18,591x = 1,499,083,524
  5. Step 5: Solve for x
    x = 1,499,083,524/18,591
  6. Step 6: Final answer
    x = 80,634.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.