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Finding the Third Proportional to 8,382.38 and 11,747.11

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Solution

The third proportional to 8,382.38 and 11,747.11 is: 16,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.38 : 11,747.11 = 11,747.11 : x
  2. Step 2: Convert to fraction form
    8,382.38/11,747.11 = 11,747.11/x
  3. Step 3: Cross multiply
    8,382.38x = 11,747.11 × 11,747.11
  4. Step 4: Simplify right side
    8,382.38x = 137,994,578.67
  5. Step 5: Solve for x
    x = 137,994,578.67/8,382.38
  6. Step 6: Final answer
    x = 16,462.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.