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Finding the Third Proportional to 300,185 and 422,197

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Solution

The third proportional to 300,185 and 422,197 is: 593,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,185 : 422,197 = 422,197 : x
  2. Step 2: Convert to fraction form
    300,185/422,197 = 422,197/x
  3. Step 3: Cross multiply
    300,185x = 422,197 × 422,197
  4. Step 4: Simplify right side
    300,185x = 178,250,306,809
  5. Step 5: Solve for x
    x = 178,250,306,809/300,185
  6. Step 6: Final answer
    x = 593,801.51

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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.