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Finding the Third Proportional to 13,857 and 18,933

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Solution

The third proportional to 13,857 and 18,933 is: 25,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 18,933 = 18,933 : x
  2. Step 2: Convert to fraction form
    13,857/18,933 = 18,933/x
  3. Step 3: Cross multiply
    13,857x = 18,933 × 18,933
  4. Step 4: Simplify right side
    13,857x = 358,458,489
  5. Step 5: Solve for x
    x = 358,458,489/13,857
  6. Step 6: Final answer
    x = 25,868.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.