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Finding the Third Proportional to 8,427 and 11,959.50

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Solution

The third proportional to 8,427 and 11,959.50 is: 16,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427 : 11,959.50 = 11,959.50 : x
  2. Step 2: Convert to fraction form
    8,427/11,959.50 = 11,959.50/x
  3. Step 3: Cross multiply
    8,427x = 11,959.50 × 11,959.50
  4. Step 4: Simplify right side
    8,427x = 143,029,640.25
  5. Step 5: Solve for x
    x = 143,029,640.25/8,427
  6. Step 6: Final answer
    x = 16,972.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.