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Finding the Third Proportional to 109,649 and 239,587

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Solution

The third proportional to 109,649 and 239,587 is: 523,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,649 : 239,587 = 239,587 : x
  2. Step 2: Convert to fraction form
    109,649/239,587 = 239,587/x
  3. Step 3: Cross multiply
    109,649x = 239,587 × 239,587
  4. Step 4: Simplify right side
    109,649x = 57,401,930,569
  5. Step 5: Solve for x
    x = 57,401,930,569/109,649
  6. Step 6: Final answer
    x = 523,506.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.