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Finding the Third Proportional to 6,869 and 12,199

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Solution

The third proportional to 6,869 and 12,199 is: 21,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869 : 12,199 = 12,199 : x
  2. Step 2: Convert to fraction form
    6,869/12,199 = 12,199/x
  3. Step 3: Cross multiply
    6,869x = 12,199 × 12,199
  4. Step 4: Simplify right side
    6,869x = 148,815,601
  5. Step 5: Solve for x
    x = 148,815,601/6,869
  6. Step 6: Final answer
    x = 21,664.81

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.