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Finding the Third Proportional to 3,972.38 and 7,428.38

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Solution

The third proportional to 3,972.38 and 7,428.38 is: 13,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.38 : 7,428.38 = 7,428.38 : x
  2. Step 2: Convert to fraction form
    3,972.38/7,428.38 = 7,428.38/x
  3. Step 3: Cross multiply
    3,972.38x = 7,428.38 × 7,428.38
  4. Step 4: Simplify right side
    3,972.38x = 55,180,755.14
  5. Step 5: Solve for x
    x = 55,180,755.14/3,972.38
  6. Step 6: Final answer
    x = 13,891.12

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.