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Finding the Third Proportional to 33,756 and 73,462.50

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Solution

The third proportional to 33,756 and 73,462.50 is: 159,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,756 : 73,462.50 = 73,462.50 : x
  2. Step 2: Convert to fraction form
    33,756/73,462.50 = 73,462.50/x
  3. Step 3: Cross multiply
    33,756x = 73,462.50 × 73,462.50
  4. Step 4: Simplify right side
    33,756x = 5,396,738,906.25
  5. Step 5: Solve for x
    x = 5,396,738,906.25/33,756
  6. Step 6: Final answer
    x = 159,874.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.