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Finding the Third Proportional to 138,437 and 297,934

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Solution

The third proportional to 138,437 and 297,934 is: 641,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,437 : 297,934 = 297,934 : x
  2. Step 2: Convert to fraction form
    138,437/297,934 = 297,934/x
  3. Step 3: Cross multiply
    138,437x = 297,934 × 297,934
  4. Step 4: Simplify right side
    138,437x = 88,764,668,356
  5. Step 5: Solve for x
    x = 88,764,668,356/138,437
  6. Step 6: Final answer
    x = 641,191.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.