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Finding the Third Proportional to 33,408 and 77,682

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Solution

The third proportional to 33,408 and 77,682 is: 180,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408 : 77,682 = 77,682 : x
  2. Step 2: Convert to fraction form
    33,408/77,682 = 77,682/x
  3. Step 3: Cross multiply
    33,408x = 77,682 × 77,682
  4. Step 4: Simplify right side
    33,408x = 6,034,493,124
  5. Step 5: Solve for x
    x = 6,034,493,124/33,408
  6. Step 6: Final answer
    x = 180,630.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.