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Finding the Third Proportional to 3,782 and 5,777

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Solution

The third proportional to 3,782 and 5,777 is: 8,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 5,777 = 5,777 : x
  2. Step 2: Convert to fraction form
    3,782/5,777 = 5,777/x
  3. Step 3: Cross multiply
    3,782x = 5,777 × 5,777
  4. Step 4: Simplify right side
    3,782x = 33,373,729
  5. Step 5: Solve for x
    x = 33,373,729/3,782
  6. Step 6: Final answer
    x = 8,824.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.