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Finding the Third Proportional to 204,554 and 446,296

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Solution

The third proportional to 204,554 and 446,296 is: 973,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,554 : 446,296 = 446,296 : x
  2. Step 2: Convert to fraction form
    204,554/446,296 = 446,296/x
  3. Step 3: Cross multiply
    204,554x = 446,296 × 446,296
  4. Step 4: Simplify right side
    204,554x = 199,180,119,616
  5. Step 5: Solve for x
    x = 199,180,119,616/204,554
  6. Step 6: Final answer
    x = 973,728.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.