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Finding the Third Proportional to 13,886 and 18,021

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Solution

The third proportional to 13,886 and 18,021 is: 23,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886 : 18,021 = 18,021 : x
  2. Step 2: Convert to fraction form
    13,886/18,021 = 18,021/x
  3. Step 3: Cross multiply
    13,886x = 18,021 × 18,021
  4. Step 4: Simplify right side
    13,886x = 324,756,441
  5. Step 5: Solve for x
    x = 324,756,441/13,886
  6. Step 6: Final answer
    x = 23,387.33

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.