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Finding the Third Proportional to 33,979.50 and 71,057.25

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Solution

The third proportional to 33,979.50 and 71,057.25 is: 148,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,979.50 : 71,057.25 = 71,057.25 : x
  2. Step 2: Convert to fraction form
    33,979.50/71,057.25 = 71,057.25/x
  3. Step 3: Cross multiply
    33,979.50x = 71,057.25 × 71,057.25
  4. Step 4: Simplify right side
    33,979.50x = 5,049,132,777.56
  5. Step 5: Solve for x
    x = 5,049,132,777.56/33,979.50
  6. Step 6: Final answer
    x = 148,593.50

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.