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Finding the Third Proportional to 206,170 and 447,326

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Solution

The third proportional to 206,170 and 447,326 is: 970,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,170 : 447,326 = 447,326 : x
  2. Step 2: Convert to fraction form
    206,170/447,326 = 447,326/x
  3. Step 3: Cross multiply
    206,170x = 447,326 × 447,326
  4. Step 4: Simplify right side
    206,170x = 200,100,550,276
  5. Step 5: Solve for x
    x = 200,100,550,276/206,170
  6. Step 6: Final answer
    x = 970,560.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.