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Finding the Third Proportional to 54,198 and 71,911.50

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Solution

The third proportional to 54,198 and 71,911.50 is: 95,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,198 : 71,911.50 = 71,911.50 : x
  2. Step 2: Convert to fraction form
    54,198/71,911.50 = 71,911.50/x
  3. Step 3: Cross multiply
    54,198x = 71,911.50 × 71,911.50
  4. Step 4: Simplify right side
    54,198x = 5,171,263,832.25
  5. Step 5: Solve for x
    x = 5,171,263,832.25/54,198
  6. Step 6: Final answer
    x = 95,414.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.