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Finding the Third Proportional to 12,881 and 19,493

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Solution

The third proportional to 12,881 and 19,493 is: 29,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881 : 19,493 = 19,493 : x
  2. Step 2: Convert to fraction form
    12,881/19,493 = 19,493/x
  3. Step 3: Cross multiply
    12,881x = 19,493 × 19,493
  4. Step 4: Simplify right side
    12,881x = 379,977,049
  5. Step 5: Solve for x
    x = 379,977,049/12,881
  6. Step 6: Final answer
    x = 29,499.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.