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Finding the Third Proportional to 33,454.27 and 73,332.84

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Solution

The third proportional to 33,454.27 and 73,332.84 is: 160,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454.27 : 73,332.84 = 73,332.84 : x
  2. Step 2: Convert to fraction form
    33,454.27/73,332.84 = 73,332.84/x
  3. Step 3: Cross multiply
    33,454.27x = 73,332.84 × 73,332.84
  4. Step 4: Simplify right side
    33,454.27x = 5,377,705,972.46
  5. Step 5: Solve for x
    x = 5,377,705,972.46/33,454.27
  6. Step 6: Final answer
    x = 160,747.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.