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Finding the Third Proportional to 300,190 and 422,204

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Solution

The third proportional to 300,190 and 422,204 is: 593,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,190 : 422,204 = 422,204 : x
  2. Step 2: Convert to fraction form
    300,190/422,204 = 422,204/x
  3. Step 3: Cross multiply
    300,190x = 422,204 × 422,204
  4. Step 4: Simplify right side
    300,190x = 178,256,217,616
  5. Step 5: Solve for x
    x = 178,256,217,616/300,190
  6. Step 6: Final answer
    x = 593,811.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.