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Finding the Third Proportional to 181,180 and 398,204

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Solution

The third proportional to 181,180 and 398,204 is: 875,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,180 : 398,204 = 398,204 : x
  2. Step 2: Convert to fraction form
    181,180/398,204 = 398,204/x
  3. Step 3: Cross multiply
    181,180x = 398,204 × 398,204
  4. Step 4: Simplify right side
    181,180x = 158,566,425,616
  5. Step 5: Solve for x
    x = 158,566,425,616/181,180
  6. Step 6: Final answer
    x = 875,187.25

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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.