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Finding the Third Proportional to 3,780 and 5,867

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Solution

The third proportional to 3,780 and 5,867 is: 9,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,867 = 5,867 : x
  2. Step 2: Convert to fraction form
    3,780/5,867 = 5,867/x
  3. Step 3: Cross multiply
    3,780x = 5,867 × 5,867
  4. Step 4: Simplify right side
    3,780x = 34,421,689
  5. Step 5: Solve for x
    x = 34,421,689/3,780
  6. Step 6: Final answer
    x = 9,106.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.