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Finding the Third Proportional to 266,667 and 399,171

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Solution

The third proportional to 266,667 and 399,171 is: 597,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,667 : 399,171 = 399,171 : x
  2. Step 2: Convert to fraction form
    266,667/399,171 = 399,171/x
  3. Step 3: Cross multiply
    266,667x = 399,171 × 399,171
  4. Step 4: Simplify right side
    266,667x = 159,337,487,241
  5. Step 5: Solve for x
    x = 159,337,487,241/266,667
  6. Step 6: Final answer
    x = 597,514.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.