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Finding the Third Proportional to 198,801 and 427,266

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Solution

The third proportional to 198,801 and 427,266 is: 918,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,801 : 427,266 = 427,266 : x
  2. Step 2: Convert to fraction form
    198,801/427,266 = 427,266/x
  3. Step 3: Cross multiply
    198,801x = 427,266 × 427,266
  4. Step 4: Simplify right side
    198,801x = 182,556,234,756
  5. Step 5: Solve for x
    x = 182,556,234,756/198,801
  6. Step 6: Final answer
    x = 918,286.30

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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.