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Finding the Third Proportional to 204,042 and 441,978

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Solution

The third proportional to 204,042 and 441,978 is: 957,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,042 : 441,978 = 441,978 : x
  2. Step 2: Convert to fraction form
    204,042/441,978 = 441,978/x
  3. Step 3: Cross multiply
    204,042x = 441,978 × 441,978
  4. Step 4: Simplify right side
    204,042x = 195,344,552,484
  5. Step 5: Solve for x
    x = 195,344,552,484/204,042
  6. Step 6: Final answer
    x = 957,374.23

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