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Finding the Third Proportional to 5,676 and 7,874

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Solution

The third proportional to 5,676 and 7,874 is: 10,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 7,874 = 7,874 : x
  2. Step 2: Convert to fraction form
    5,676/7,874 = 7,874/x
  3. Step 3: Cross multiply
    5,676x = 7,874 × 7,874
  4. Step 4: Simplify right side
    5,676x = 61,999,876
  5. Step 5: Solve for x
    x = 61,999,876/5,676
  6. Step 6: Final answer
    x = 10,923.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.