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Finding the Third Proportional to 33,408 and 71,856

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Solution

The third proportional to 33,408 and 71,856 is: 154,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408 : 71,856 = 71,856 : x
  2. Step 2: Convert to fraction form
    33,408/71,856 = 71,856/x
  3. Step 3: Cross multiply
    33,408x = 71,856 × 71,856
  4. Step 4: Simplify right side
    33,408x = 5,163,284,736
  5. Step 5: Solve for x
    x = 5,163,284,736/33,408
  6. Step 6: Final answer
    x = 154,552.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.