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Finding the Third Proportional to 5,078 and 8,161

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Solution

The third proportional to 5,078 and 8,161 is: 13,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078 : 8,161 = 8,161 : x
  2. Step 2: Convert to fraction form
    5,078/8,161 = 8,161/x
  3. Step 3: Cross multiply
    5,078x = 8,161 × 8,161
  4. Step 4: Simplify right side
    5,078x = 66,601,921
  5. Step 5: Solve for x
    x = 66,601,921/5,078
  6. Step 6: Final answer
    x = 13,115.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.