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Finding the Third Proportional to 11,550 and 13,251

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Solution

The third proportional to 11,550 and 13,251 is: 15,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550 : 13,251 = 13,251 : x
  2. Step 2: Convert to fraction form
    11,550/13,251 = 13,251/x
  3. Step 3: Cross multiply
    11,550x = 13,251 × 13,251
  4. Step 4: Simplify right side
    11,550x = 175,589,001
  5. Step 5: Solve for x
    x = 175,589,001/11,550
  6. Step 6: Final answer
    x = 15,202.51

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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.