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Finding the Third Proportional to 138,782 and 297,241

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Solution

The third proportional to 138,782 and 297,241 is: 636,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,782 : 297,241 = 297,241 : x
  2. Step 2: Convert to fraction form
    138,782/297,241 = 297,241/x
  3. Step 3: Cross multiply
    138,782x = 297,241 × 297,241
  4. Step 4: Simplify right side
    138,782x = 88,352,212,081
  5. Step 5: Solve for x
    x = 88,352,212,081/138,782
  6. Step 6: Final answer
    x = 636,625.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.