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Finding the Third Proportional to 13,695 and 20,493

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Solution

The third proportional to 13,695 and 20,493 is: 30,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695 : 20,493 = 20,493 : x
  2. Step 2: Convert to fraction form
    13,695/20,493 = 20,493/x
  3. Step 3: Cross multiply
    13,695x = 20,493 × 20,493
  4. Step 4: Simplify right side
    13,695x = 419,963,049
  5. Step 5: Solve for x
    x = 419,963,049/13,695
  6. Step 6: Final answer
    x = 30,665.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.