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Finding the Third Proportional to 7,856 and 12,149

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Solution

The third proportional to 7,856 and 12,149 is: 18,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 12,149 = 12,149 : x
  2. Step 2: Convert to fraction form
    7,856/12,149 = 12,149/x
  3. Step 3: Cross multiply
    7,856x = 12,149 × 12,149
  4. Step 4: Simplify right side
    7,856x = 147,598,201
  5. Step 5: Solve for x
    x = 147,598,201/7,856
  6. Step 6: Final answer
    x = 18,787.96

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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.