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Finding the Third Proportional to 181,550 and 398,936

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Solution

The third proportional to 181,550 and 398,936 is: 876,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,550 : 398,936 = 398,936 : x
  2. Step 2: Convert to fraction form
    181,550/398,936 = 398,936/x
  3. Step 3: Cross multiply
    181,550x = 398,936 × 398,936
  4. Step 4: Simplify right side
    181,550x = 159,149,932,096
  5. Step 5: Solve for x
    x = 159,149,932,096/181,550
  6. Step 6: Final answer
    x = 876,617.64

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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.