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Finding the Third Proportional to 7,869 and 12,077

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Solution

The third proportional to 7,869 and 12,077 is: 18,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869 : 12,077 = 12,077 : x
  2. Step 2: Convert to fraction form
    7,869/12,077 = 12,077/x
  3. Step 3: Cross multiply
    7,869x = 12,077 × 12,077
  4. Step 4: Simplify right side
    7,869x = 145,853,929
  5. Step 5: Solve for x
    x = 145,853,929/7,869
  6. Step 6: Final answer
    x = 18,535.26

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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.