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Finding the Third Proportional to 3,782 and 5,843

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Solution

The third proportional to 3,782 and 5,843 is: 9,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 5,843 = 5,843 : x
  2. Step 2: Convert to fraction form
    3,782/5,843 = 5,843/x
  3. Step 3: Cross multiply
    3,782x = 5,843 × 5,843
  4. Step 4: Simplify right side
    3,782x = 34,140,649
  5. Step 5: Solve for x
    x = 34,140,649/3,782
  6. Step 6: Final answer
    x = 9,027.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.