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Finding the Third Proportional to 18,654 and 38,170

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Solution

The third proportional to 18,654 and 38,170 is: 78,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654 : 38,170 = 38,170 : x
  2. Step 2: Convert to fraction form
    18,654/38,170 = 38,170/x
  3. Step 3: Cross multiply
    18,654x = 38,170 × 38,170
  4. Step 4: Simplify right side
    18,654x = 1,456,948,900
  5. Step 5: Solve for x
    x = 1,456,948,900/18,654
  6. Step 6: Final answer
    x = 78,103.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.