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Finding the Third Proportional to 3,874 and 5,491

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Solution

The third proportional to 3,874 and 5,491 is: 7,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874 : 5,491 = 5,491 : x
  2. Step 2: Convert to fraction form
    3,874/5,491 = 5,491/x
  3. Step 3: Cross multiply
    3,874x = 5,491 × 5,491
  4. Step 4: Simplify right side
    3,874x = 30,151,081
  5. Step 5: Solve for x
    x = 30,151,081/3,874
  6. Step 6: Final answer
    x = 7,782.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.