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Finding the Third Proportional to 203,908 and 449,288

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Solution

The third proportional to 203,908 and 449,288 is: 989,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908 : 449,288 = 449,288 : x
  2. Step 2: Convert to fraction form
    203,908/449,288 = 449,288/x
  3. Step 3: Cross multiply
    203,908x = 449,288 × 449,288
  4. Step 4: Simplify right side
    203,908x = 201,859,706,944
  5. Step 5: Solve for x
    x = 201,859,706,944/203,908
  6. Step 6: Final answer
    x = 989,954.82

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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.