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Finding the Third Proportional to 18,384 and 38,934

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Solution

The third proportional to 18,384 and 38,934 is: 82,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384 : 38,934 = 38,934 : x
  2. Step 2: Convert to fraction form
    18,384/38,934 = 38,934/x
  3. Step 3: Cross multiply
    18,384x = 38,934 × 38,934
  4. Step 4: Simplify right side
    18,384x = 1,515,856,356
  5. Step 5: Solve for x
    x = 1,515,856,356/18,384
  6. Step 6: Final answer
    x = 82,455.20

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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.