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Finding the Third Proportional to 3,942 and 9,211.22

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Solution

The third proportional to 3,942 and 9,211.22 is: 21,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942 : 9,211.22 = 9,211.22 : x
  2. Step 2: Convert to fraction form
    3,942/9,211.22 = 9,211.22/x
  3. Step 3: Cross multiply
    3,942x = 9,211.22 × 9,211.22
  4. Step 4: Simplify right side
    3,942x = 84,846,550.86
  5. Step 5: Solve for x
    x = 84,846,550.86/3,942
  6. Step 6: Final answer
    x = 21,523.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.