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Finding the Third Proportional to 3,743 and 8,867

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Solution

The third proportional to 3,743 and 8,867 is: 21,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743 : 8,867 = 8,867 : x
  2. Step 2: Convert to fraction form
    3,743/8,867 = 8,867/x
  3. Step 3: Cross multiply
    3,743x = 8,867 × 8,867
  4. Step 4: Simplify right side
    3,743x = 78,623,689
  5. Step 5: Solve for x
    x = 78,623,689/3,743
  6. Step 6: Final answer
    x = 21,005.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.