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Finding the Third Proportional to 3,869 and 5,787

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Solution

The third proportional to 3,869 and 5,787 is: 8,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869 : 5,787 = 5,787 : x
  2. Step 2: Convert to fraction form
    3,869/5,787 = 5,787/x
  3. Step 3: Cross multiply
    3,869x = 5,787 × 5,787
  4. Step 4: Simplify right side
    3,869x = 33,489,369
  5. Step 5: Solve for x
    x = 33,489,369/3,869
  6. Step 6: Final answer
    x = 8,655.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.