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Finding the Third Proportional to 7,867 and 12,074

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Solution

The third proportional to 7,867 and 12,074 is: 18,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867 : 12,074 = 12,074 : x
  2. Step 2: Convert to fraction form
    7,867/12,074 = 12,074/x
  3. Step 3: Cross multiply
    7,867x = 12,074 × 12,074
  4. Step 4: Simplify right side
    7,867x = 145,781,476
  5. Step 5: Solve for x
    x = 145,781,476/7,867
  6. Step 6: Final answer
    x = 18,530.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.