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Finding the Third Proportional to 206,456 and 452,278

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Solution

The third proportional to 206,456 and 452,278 is: 990,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,456 : 452,278 = 452,278 : x
  2. Step 2: Convert to fraction form
    206,456/452,278 = 452,278/x
  3. Step 3: Cross multiply
    206,456x = 452,278 × 452,278
  4. Step 4: Simplify right side
    206,456x = 204,555,389,284
  5. Step 5: Solve for x
    x = 204,555,389,284/206,456
  6. Step 6: Final answer
    x = 990,794.11

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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.