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Finding the Third Proportional to 3,781.69 and 6,232.78

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Solution

The third proportional to 3,781.69 and 6,232.78 is: 10,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.69 : 6,232.78 = 6,232.78 : x
  2. Step 2: Convert to fraction form
    3,781.69/6,232.78 = 6,232.78/x
  3. Step 3: Cross multiply
    3,781.69x = 6,232.78 × 6,232.78
  4. Step 4: Simplify right side
    3,781.69x = 38,847,562.11
  5. Step 5: Solve for x
    x = 38,847,562.11/3,781.69
  6. Step 6: Final answer
    x = 10,272.55

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.