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Finding the Third Proportional to 13,251 and 19,161

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Solution

The third proportional to 13,251 and 19,161 is: 27,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251 : 19,161 = 19,161 : x
  2. Step 2: Convert to fraction form
    13,251/19,161 = 19,161/x
  3. Step 3: Cross multiply
    13,251x = 19,161 × 19,161
  4. Step 4: Simplify right side
    13,251x = 367,143,921
  5. Step 5: Solve for x
    x = 367,143,921/13,251
  6. Step 6: Final answer
    x = 27,706.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.