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Finding the Third Proportional to 33,219.75 and 71,975.25

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Solution

The third proportional to 33,219.75 and 71,975.25 is: 155,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.75 : 71,975.25 = 71,975.25 : x
  2. Step 2: Convert to fraction form
    33,219.75/71,975.25 = 71,975.25/x
  3. Step 3: Cross multiply
    33,219.75x = 71,975.25 × 71,975.25
  4. Step 4: Simplify right side
    33,219.75x = 5,180,436,612.56
  5. Step 5: Solve for x
    x = 5,180,436,612.56/33,219.75
  6. Step 6: Final answer
    x = 155,944.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.