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Finding the Third Proportional to 8,497 and 13,115

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Solution

The third proportional to 8,497 and 13,115 is: 20,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497 : 13,115 = 13,115 : x
  2. Step 2: Convert to fraction form
    8,497/13,115 = 13,115/x
  3. Step 3: Cross multiply
    8,497x = 13,115 × 13,115
  4. Step 4: Simplify right side
    8,497x = 172,003,225
  5. Step 5: Solve for x
    x = 172,003,225/8,497
  6. Step 6: Final answer
    x = 20,242.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.