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Finding the Third Proportional to 3,966.38 and 5,578.13

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Solution

The third proportional to 3,966.38 and 5,578.13 is: 7,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.38 : 5,578.13 = 5,578.13 : x
  2. Step 2: Convert to fraction form
    3,966.38/5,578.13 = 5,578.13/x
  3. Step 3: Cross multiply
    3,966.38x = 5,578.13 × 5,578.13
  4. Step 4: Simplify right side
    3,966.38x = 31,115,478.52
  5. Step 5: Solve for x
    x = 31,115,478.52/3,966.38
  6. Step 6: Final answer
    x = 7,844.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.