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Finding the Third Proportional to 181,948 and 394,976

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Solution

The third proportional to 181,948 and 394,976 is: 857,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,948 : 394,976 = 394,976 : x
  2. Step 2: Convert to fraction form
    181,948/394,976 = 394,976/x
  3. Step 3: Cross multiply
    181,948x = 394,976 × 394,976
  4. Step 4: Simplify right side
    181,948x = 156,006,040,576
  5. Step 5: Solve for x
    x = 156,006,040,576/181,948
  6. Step 6: Final answer
    x = 857,421.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.