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Finding the Third Proportional to 179,910 and 394,812

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Solution

The third proportional to 179,910 and 394,812 is: 866,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,910 : 394,812 = 394,812 : x
  2. Step 2: Convert to fraction form
    179,910/394,812 = 394,812/x
  3. Step 3: Cross multiply
    179,910x = 394,812 × 394,812
  4. Step 4: Simplify right side
    179,910x = 155,876,515,344
  5. Step 5: Solve for x
    x = 155,876,515,344/179,910
  6. Step 6: Final answer
    x = 866,413.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.