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Finding the Third Proportional to 18,939 and 39,930

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Solution

The third proportional to 18,939 and 39,930 is: 84,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,939 : 39,930 = 39,930 : x
  2. Step 2: Convert to fraction form
    18,939/39,930 = 39,930/x
  3. Step 3: Cross multiply
    18,939x = 39,930 × 39,930
  4. Step 4: Simplify right side
    18,939x = 1,594,404,900
  5. Step 5: Solve for x
    x = 1,594,404,900/18,939
  6. Step 6: Final answer
    x = 84,186.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.