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Finding the Third Proportional to 13,913 and 20,993

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Solution

The third proportional to 13,913 and 20,993 is: 31,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913 : 20,993 = 20,993 : x
  2. Step 2: Convert to fraction form
    13,913/20,993 = 20,993/x
  3. Step 3: Cross multiply
    13,913x = 20,993 × 20,993
  4. Step 4: Simplify right side
    13,913x = 440,706,049
  5. Step 5: Solve for x
    x = 440,706,049/13,913
  6. Step 6: Final answer
    x = 31,675.85

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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.