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Finding the Third Proportional to 33,378 and 67,677

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Solution

The third proportional to 33,378 and 67,677 is: 137,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378 : 67,677 = 67,677 : x
  2. Step 2: Convert to fraction form
    33,378/67,677 = 67,677/x
  3. Step 3: Cross multiply
    33,378x = 67,677 × 67,677
  4. Step 4: Simplify right side
    33,378x = 4,580,176,329
  5. Step 5: Solve for x
    x = 4,580,176,329/33,378
  6. Step 6: Final answer
    x = 137,221.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.