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Finding the Third Proportional to 2,638 and 3,815

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Solution

The third proportional to 2,638 and 3,815 is: 5,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638 : 3,815 = 3,815 : x
  2. Step 2: Convert to fraction form
    2,638/3,815 = 3,815/x
  3. Step 3: Cross multiply
    2,638x = 3,815 × 3,815
  4. Step 4: Simplify right side
    2,638x = 14,554,225
  5. Step 5: Solve for x
    x = 14,554,225/2,638
  6. Step 6: Final answer
    x = 5,517.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.