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Finding the Third Proportional to 7,986 and 12,757

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Solution

The third proportional to 7,986 and 12,757 is: 20,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986 : 12,757 = 12,757 : x
  2. Step 2: Convert to fraction form
    7,986/12,757 = 12,757/x
  3. Step 3: Cross multiply
    7,986x = 12,757 × 12,757
  4. Step 4: Simplify right side
    7,986x = 162,741,049
  5. Step 5: Solve for x
    x = 162,741,049/7,986
  6. Step 6: Final answer
    x = 20,378.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.