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Finding the Third Proportional to 13,857 and 19,965

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Solution

The third proportional to 13,857 and 19,965 is: 28,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 19,965 = 19,965 : x
  2. Step 2: Convert to fraction form
    13,857/19,965 = 19,965/x
  3. Step 3: Cross multiply
    13,857x = 19,965 × 19,965
  4. Step 4: Simplify right side
    13,857x = 398,601,225
  5. Step 5: Solve for x
    x = 398,601,225/13,857
  6. Step 6: Final answer
    x = 28,765.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.