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Finding the Third Proportional to 5,138 and 6,675

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Solution

The third proportional to 5,138 and 6,675 is: 8,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138 : 6,675 = 6,675 : x
  2. Step 2: Convert to fraction form
    5,138/6,675 = 6,675/x
  3. Step 3: Cross multiply
    5,138x = 6,675 × 6,675
  4. Step 4: Simplify right side
    5,138x = 44,555,625
  5. Step 5: Solve for x
    x = 44,555,625/5,138
  6. Step 6: Final answer
    x = 8,671.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.