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Finding the Third Proportional to 221,940 and 338,442

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Solution

The third proportional to 221,940 and 338,442 is: 516,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,940 : 338,442 = 338,442 : x
  2. Step 2: Convert to fraction form
    221,940/338,442 = 338,442/x
  3. Step 3: Cross multiply
    221,940x = 338,442 × 338,442
  4. Step 4: Simplify right side
    221,940x = 114,542,987,364
  5. Step 5: Solve for x
    x = 114,542,987,364/221,940
  6. Step 6: Final answer
    x = 516,098.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.