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Finding the Third Proportional to 206,012 and 451,390

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Solution

The third proportional to 206,012 and 451,390 is: 989,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,012 : 451,390 = 451,390 : x
  2. Step 2: Convert to fraction form
    206,012/451,390 = 451,390/x
  3. Step 3: Cross multiply
    206,012x = 451,390 × 451,390
  4. Step 4: Simplify right side
    206,012x = 203,752,932,100
  5. Step 5: Solve for x
    x = 203,752,932,100/206,012
  6. Step 6: Final answer
    x = 989,034.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.