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Finding the Third Proportional to 11,427 and 13,107

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Solution

The third proportional to 11,427 and 13,107 is: 15,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427 : 13,107 = 13,107 : x
  2. Step 2: Convert to fraction form
    11,427/13,107 = 13,107/x
  3. Step 3: Cross multiply
    11,427x = 13,107 × 13,107
  4. Step 4: Simplify right side
    11,427x = 171,793,449
  5. Step 5: Solve for x
    x = 171,793,449/11,427
  6. Step 6: Final answer
    x = 15,033.99

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.