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Finding the Third Proportional to 8,481.38 and 9,716.63

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Solution

The third proportional to 8,481.38 and 9,716.63 is: 11,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.38 : 9,716.63 = 9,716.63 : x
  2. Step 2: Convert to fraction form
    8,481.38/9,716.63 = 9,716.63/x
  3. Step 3: Cross multiply
    8,481.38x = 9,716.63 × 9,716.63
  4. Step 4: Simplify right side
    8,481.38x = 94,412,801.39
  5. Step 5: Solve for x
    x = 94,412,801.39/8,481.38
  6. Step 6: Final answer
    x = 11,131.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.