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Finding the Third Proportional to 206,478 and 290,757

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Solution

The third proportional to 206,478 and 290,757 is: 409,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478 : 290,757 = 290,757 : x
  2. Step 2: Convert to fraction form
    206,478/290,757 = 290,757/x
  3. Step 3: Cross multiply
    206,478x = 290,757 × 290,757
  4. Step 4: Simplify right side
    206,478x = 84,539,633,049
  5. Step 5: Solve for x
    x = 84,539,633,049/206,478
  6. Step 6: Final answer
    x = 409,436.52

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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.