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Finding the Third Proportional to 3,942 and 5,605

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Solution

The third proportional to 3,942 and 5,605 is: 7,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942 : 5,605 = 5,605 : x
  2. Step 2: Convert to fraction form
    3,942/5,605 = 5,605/x
  3. Step 3: Cross multiply
    3,942x = 5,605 × 5,605
  4. Step 4: Simplify right side
    3,942x = 31,416,025
  5. Step 5: Solve for x
    x = 31,416,025/3,942
  6. Step 6: Final answer
    x = 7,969.56

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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.