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Finding the Third Proportional to 33,594.75 and 73,082.25

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Solution

The third proportional to 33,594.75 and 73,082.25 is: 158,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,594.75 : 73,082.25 = 73,082.25 : x
  2. Step 2: Convert to fraction form
    33,594.75/73,082.25 = 73,082.25/x
  3. Step 3: Cross multiply
    33,594.75x = 73,082.25 × 73,082.25
  4. Step 4: Simplify right side
    33,594.75x = 5,341,015,265.06
  5. Step 5: Solve for x
    x = 5,341,015,265.06/33,594.75
  6. Step 6: Final answer
    x = 158,983.63

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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.