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Finding the Third Proportional to 33,768.56 and 72,311.06

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Solution

The third proportional to 33,768.56 and 72,311.06 is: 154,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768.56 : 72,311.06 = 72,311.06 : x
  2. Step 2: Convert to fraction form
    33,768.56/72,311.06 = 72,311.06/x
  3. Step 3: Cross multiply
    33,768.56x = 72,311.06 × 72,311.06
  4. Step 4: Simplify right side
    33,768.56x = 5,228,889,759.88
  5. Step 5: Solve for x
    x = 5,228,889,759.88/33,768.56
  6. Step 6: Final answer
    x = 154,844.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.