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Finding the Third Proportional to 203,739 and 442,539

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Solution

The third proportional to 203,739 and 442,539 is: 961,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,739 : 442,539 = 442,539 : x
  2. Step 2: Convert to fraction form
    203,739/442,539 = 442,539/x
  3. Step 3: Cross multiply
    203,739x = 442,539 × 442,539
  4. Step 4: Simplify right side
    203,739x = 195,840,766,521
  5. Step 5: Solve for x
    x = 195,840,766,521/203,739
  6. Step 6: Final answer
    x = 961,233.57

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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.