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Finding the Third Proportional to 37,869 and 79,839

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Solution

The third proportional to 37,869 and 79,839 is: 168,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,869 : 79,839 = 79,839 : x
  2. Step 2: Convert to fraction form
    37,869/79,839 = 79,839/x
  3. Step 3: Cross multiply
    37,869x = 79,839 × 79,839
  4. Step 4: Simplify right side
    37,869x = 6,374,265,921
  5. Step 5: Solve for x
    x = 6,374,265,921/37,869
  6. Step 6: Final answer
    x = 168,324.12

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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.