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Finding the Third Proportional to 197,067 and 408,147

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Solution

The third proportional to 197,067 and 408,147 is: 845,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,067 : 408,147 = 408,147 : x
  2. Step 2: Convert to fraction form
    197,067/408,147 = 408,147/x
  3. Step 3: Cross multiply
    197,067x = 408,147 × 408,147
  4. Step 4: Simplify right side
    197,067x = 166,583,973,609
  5. Step 5: Solve for x
    x = 166,583,973,609/197,067
  6. Step 6: Final answer
    x = 845,316.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.