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Finding the Third Proportional to 2,638 and 5,691

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Solution

The third proportional to 2,638 and 5,691 is: 12,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638 : 5,691 = 5,691 : x
  2. Step 2: Convert to fraction form
    2,638/5,691 = 5,691/x
  3. Step 3: Cross multiply
    2,638x = 5,691 × 5,691
  4. Step 4: Simplify right side
    2,638x = 32,387,481
  5. Step 5: Solve for x
    x = 32,387,481/2,638
  6. Step 6: Final answer
    x = 12,277.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.