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Finding the Third Proportional to 109,649 and 239,098

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Solution

The third proportional to 109,649 and 239,098 is: 521,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,649 : 239,098 = 239,098 : x
  2. Step 2: Convert to fraction form
    109,649/239,098 = 239,098/x
  3. Step 3: Cross multiply
    109,649x = 239,098 × 239,098
  4. Step 4: Simplify right side
    109,649x = 57,167,853,604
  5. Step 5: Solve for x
    x = 57,167,853,604/109,649
  6. Step 6: Final answer
    x = 521,371.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.