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Finding the Third Proportional to 7,814 and 12,218

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Solution

The third proportional to 7,814 and 12,218 is: 19,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814 : 12,218 = 12,218 : x
  2. Step 2: Convert to fraction form
    7,814/12,218 = 12,218/x
  3. Step 3: Cross multiply
    7,814x = 12,218 × 12,218
  4. Step 4: Simplify right side
    7,814x = 149,279,524
  5. Step 5: Solve for x
    x = 149,279,524/7,814
  6. Step 6: Final answer
    x = 19,104.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.