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Finding the Third Proportional to 13,587 and 28,649

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Solution

The third proportional to 13,587 and 28,649 is: 60,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587 : 28,649 = 28,649 : x
  2. Step 2: Convert to fraction form
    13,587/28,649 = 28,649/x
  3. Step 3: Cross multiply
    13,587x = 28,649 × 28,649
  4. Step 4: Simplify right side
    13,587x = 820,765,201
  5. Step 5: Solve for x
    x = 820,765,201/13,587
  6. Step 6: Final answer
    x = 60,408.13

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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.