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Finding the Third Proportional to 20,178 and 39,839

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Solution

The third proportional to 20,178 and 39,839 is: 78,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 39,839 = 39,839 : x
  2. Step 2: Convert to fraction form
    20,178/39,839 = 39,839/x
  3. Step 3: Cross multiply
    20,178x = 39,839 × 39,839
  4. Step 4: Simplify right side
    20,178x = 1,587,145,921
  5. Step 5: Solve for x
    x = 1,587,145,921/20,178
  6. Step 6: Final answer
    x = 78,657.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.