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Finding the Third Proportional to 48,019 and 72,691

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Solution

The third proportional to 48,019 and 72,691 is: 110,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,019 : 72,691 = 72,691 : x
  2. Step 2: Convert to fraction form
    48,019/72,691 = 72,691/x
  3. Step 3: Cross multiply
    48,019x = 72,691 × 72,691
  4. Step 4: Simplify right side
    48,019x = 5,283,981,481
  5. Step 5: Solve for x
    x = 5,283,981,481/48,019
  6. Step 6: Final answer
    x = 110,039.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.