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Finding the Third Proportional to 181,289 and 398,825

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Solution

The third proportional to 181,289 and 398,825 is: 877,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,289 : 398,825 = 398,825 : x
  2. Step 2: Convert to fraction form
    181,289/398,825 = 398,825/x
  3. Step 3: Cross multiply
    181,289x = 398,825 × 398,825
  4. Step 4: Simplify right side
    181,289x = 159,061,380,625
  5. Step 5: Solve for x
    x = 159,061,380,625/181,289
  6. Step 6: Final answer
    x = 877,391.24

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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.