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Finding the Third Proportional to 8,311.50 and 11,197.13

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Solution

The third proportional to 8,311.50 and 11,197.13 is: 15,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.50 : 11,197.13 = 11,197.13 : x
  2. Step 2: Convert to fraction form
    8,311.50/11,197.13 = 11,197.13/x
  3. Step 3: Cross multiply
    8,311.50x = 11,197.13 × 11,197.13
  4. Step 4: Simplify right side
    8,311.50x = 125,375,608.27
  5. Step 5: Solve for x
    x = 125,375,608.27/8,311.50
  6. Step 6: Final answer
    x = 15,084.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.