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Finding the Third Proportional to 300,186 and 422,199

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Solution

The third proportional to 300,186 and 422,199 is: 593,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,186 : 422,199 = 422,199 : x
  2. Step 2: Convert to fraction form
    300,186/422,199 = 422,199/x
  3. Step 3: Cross multiply
    300,186x = 422,199 × 422,199
  4. Step 4: Simplify right side
    300,186x = 178,251,995,601
  5. Step 5: Solve for x
    x = 178,251,995,601/300,186
  6. Step 6: Final answer
    x = 593,805.16

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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.