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Finding the Third Proportional to 181,550 and 398,938

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Solution

The third proportional to 181,550 and 398,938 is: 876,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,550 : 398,938 = 398,938 : x
  2. Step 2: Convert to fraction form
    181,550/398,938 = 398,938/x
  3. Step 3: Cross multiply
    181,550x = 398,938 × 398,938
  4. Step 4: Simplify right side
    181,550x = 159,151,527,844
  5. Step 5: Solve for x
    x = 159,151,527,844/181,550
  6. Step 6: Final answer
    x = 876,626.43

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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.