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Finding the Third Proportional to 179,890 and 396,001

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Solution

The third proportional to 179,890 and 396,001 is: 871,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,890 : 396,001 = 396,001 : x
  2. Step 2: Convert to fraction form
    179,890/396,001 = 396,001/x
  3. Step 3: Cross multiply
    179,890x = 396,001 × 396,001
  4. Step 4: Simplify right side
    179,890x = 156,816,792,001
  5. Step 5: Solve for x
    x = 156,816,792,001/179,890
  6. Step 6: Final answer
    x = 871,737.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.