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Finding the Third Proportional to 206,406 and 290,667

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Solution

The third proportional to 206,406 and 290,667 is: 409,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406 : 290,667 = 290,667 : x
  2. Step 2: Convert to fraction form
    206,406/290,667 = 290,667/x
  3. Step 3: Cross multiply
    206,406x = 290,667 × 290,667
  4. Step 4: Simplify right side
    206,406x = 84,487,304,889
  5. Step 5: Solve for x
    x = 84,487,304,889/206,406
  6. Step 6: Final answer
    x = 409,325.82

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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.