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Finding the Third Proportional to 12,781 and 27,649

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Solution

The third proportional to 12,781 and 27,649 is: 59,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781 : 27,649 = 27,649 : x
  2. Step 2: Convert to fraction form
    12,781/27,649 = 27,649/x
  3. Step 3: Cross multiply
    12,781x = 27,649 × 27,649
  4. Step 4: Simplify right side
    12,781x = 764,467,201
  5. Step 5: Solve for x
    x = 764,467,201/12,781
  6. Step 6: Final answer
    x = 59,812.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.