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Finding the Third Proportional to 206,404 and 290,665

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Solution

The third proportional to 206,404 and 290,665 is: 409,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404 : 290,665 = 290,665 : x
  2. Step 2: Convert to fraction form
    206,404/290,665 = 290,665/x
  3. Step 3: Cross multiply
    206,404x = 290,665 × 290,665
  4. Step 4: Simplify right side
    206,404x = 84,486,142,225
  5. Step 5: Solve for x
    x = 84,486,142,225/206,404
  6. Step 6: Final answer
    x = 409,324.15

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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.