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Finding the Third Proportional to 205,769 and 449,243

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Solution

The third proportional to 205,769 and 449,243 is: 980,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,769 : 449,243 = 449,243 : x
  2. Step 2: Convert to fraction form
    205,769/449,243 = 449,243/x
  3. Step 3: Cross multiply
    205,769x = 449,243 × 449,243
  4. Step 4: Simplify right side
    205,769x = 201,819,273,049
  5. Step 5: Solve for x
    x = 201,819,273,049/205,769
  6. Step 6: Final answer
    x = 980,805.04

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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.