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Finding the Third Proportional to 2,757 and 3,949

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Solution

The third proportional to 2,757 and 3,949 is: 5,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757 : 3,949 = 3,949 : x
  2. Step 2: Convert to fraction form
    2,757/3,949 = 3,949/x
  3. Step 3: Cross multiply
    2,757x = 3,949 × 3,949
  4. Step 4: Simplify right side
    2,757x = 15,594,601
  5. Step 5: Solve for x
    x = 15,594,601/2,757
  6. Step 6: Final answer
    x = 5,656.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.