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Finding the Third Proportional to 204,815.50 and 419,472.50

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Solution

The third proportional to 204,815.50 and 419,472.50 is: 859,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,815.50 : 419,472.50 = 419,472.50 : x
  2. Step 2: Convert to fraction form
    204,815.50/419,472.50 = 419,472.50/x
  3. Step 3: Cross multiply
    204,815.50x = 419,472.50 × 419,472.50
  4. Step 4: Simplify right side
    204,815.50x = 175,957,178,256.25
  5. Step 5: Solve for x
    x = 175,957,178,256.25/204,815.50
  6. Step 6: Final answer
    x = 859,100.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.