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Finding the Third Proportional to 204,215 and 449,144

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Solution

The third proportional to 204,215 and 449,144 is: 987,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,215 : 449,144 = 449,144 : x
  2. Step 2: Convert to fraction form
    204,215/449,144 = 449,144/x
  3. Step 3: Cross multiply
    204,215x = 449,144 × 449,144
  4. Step 4: Simplify right side
    204,215x = 201,730,332,736
  5. Step 5: Solve for x
    x = 201,730,332,736/204,215
  6. Step 6: Final answer
    x = 987,833.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.