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Finding the Third Proportional to 2,491 and 2,857

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Solution

The third proportional to 2,491 and 2,857 is: 3,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491 : 2,857 = 2,857 : x
  2. Step 2: Convert to fraction form
    2,491/2,857 = 2,857/x
  3. Step 3: Cross multiply
    2,491x = 2,857 × 2,857
  4. Step 4: Simplify right side
    2,491x = 8,162,449
  5. Step 5: Solve for x
    x = 8,162,449/2,491
  6. Step 6: Final answer
    x = 3,276.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.