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Finding the Third Proportional to 8,132 and 12,578

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Solution

The third proportional to 8,132 and 12,578 is: 19,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132 : 12,578 = 12,578 : x
  2. Step 2: Convert to fraction form
    8,132/12,578 = 12,578/x
  3. Step 3: Cross multiply
    8,132x = 12,578 × 12,578
  4. Step 4: Simplify right side
    8,132x = 158,206,084
  5. Step 5: Solve for x
    x = 158,206,084/8,132
  6. Step 6: Final answer
    x = 19,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.