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Finding the Third Proportional to 13,638 and 28,734

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Solution

The third proportional to 13,638 and 28,734 is: 60,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638 : 28,734 = 28,734 : x
  2. Step 2: Convert to fraction form
    13,638/28,734 = 28,734/x
  3. Step 3: Cross multiply
    13,638x = 28,734 × 28,734
  4. Step 4: Simplify right side
    13,638x = 825,642,756
  5. Step 5: Solve for x
    x = 825,642,756/13,638
  6. Step 6: Final answer
    x = 60,539.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.