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Finding the Third Proportional to 181,557 and 398,951

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Solution

The third proportional to 181,557 and 398,951 is: 876,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,557 : 398,951 = 398,951 : x
  2. Step 2: Convert to fraction form
    181,557/398,951 = 398,951/x
  3. Step 3: Cross multiply
    181,557x = 398,951 × 398,951
  4. Step 4: Simplify right side
    181,557x = 159,161,900,401
  5. Step 5: Solve for x
    x = 159,161,900,401/181,557
  6. Step 6: Final answer
    x = 876,649.76

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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.