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Finding the Third Proportional to 8,691 and 13,197

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Solution

The third proportional to 8,691 and 13,197 is: 20,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691 : 13,197 = 13,197 : x
  2. Step 2: Convert to fraction form
    8,691/13,197 = 13,197/x
  3. Step 3: Cross multiply
    8,691x = 13,197 × 13,197
  4. Step 4: Simplify right side
    8,691x = 174,160,809
  5. Step 5: Solve for x
    x = 174,160,809/8,691
  6. Step 6: Final answer
    x = 20,039.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.