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Finding the Third Proportional to 181,540 and 398,918

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Solution

The third proportional to 181,540 and 398,918 is: 876,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,540 : 398,918 = 398,918 : x
  2. Step 2: Convert to fraction form
    181,540/398,918 = 398,918/x
  3. Step 3: Cross multiply
    181,540x = 398,918 × 398,918
  4. Step 4: Simplify right side
    181,540x = 159,135,570,724
  5. Step 5: Solve for x
    x = 159,135,570,724/181,540
  6. Step 6: Final answer
    x = 876,586.82

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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.