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Finding the Third Proportional to 48,170 and 71,839

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Solution

The third proportional to 48,170 and 71,839 is: 107,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,170 : 71,839 = 71,839 : x
  2. Step 2: Convert to fraction form
    48,170/71,839 = 71,839/x
  3. Step 3: Cross multiply
    48,170x = 71,839 × 71,839
  4. Step 4: Simplify right side
    48,170x = 5,160,841,921
  5. Step 5: Solve for x
    x = 5,160,841,921/48,170
  6. Step 6: Final answer
    x = 107,138.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.