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Finding the Third Proportional to 8,251.50 and 11,682.75

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Solution

The third proportional to 8,251.50 and 11,682.75 is: 16,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.50 : 11,682.75 = 11,682.75 : x
  2. Step 2: Convert to fraction form
    8,251.50/11,682.75 = 11,682.75/x
  3. Step 3: Cross multiply
    8,251.50x = 11,682.75 × 11,682.75
  4. Step 4: Simplify right side
    8,251.50x = 136,486,647.56
  5. Step 5: Solve for x
    x = 136,486,647.56/8,251.50
  6. Step 6: Final answer
    x = 16,540.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.