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Finding the Third Proportional to 204,661.50 and 440,103.75

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Solution

The third proportional to 204,661.50 and 440,103.75 is: 946,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,661.50 : 440,103.75 = 440,103.75 : x
  2. Step 2: Convert to fraction form
    204,661.50/440,103.75 = 440,103.75/x
  3. Step 3: Cross multiply
    204,661.50x = 440,103.75 × 440,103.75
  4. Step 4: Simplify right side
    204,661.50x = 193,691,310,764.06
  5. Step 5: Solve for x
    x = 193,691,310,764.06/204,661.50
  6. Step 6: Final answer
    x = 946,398.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.