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Finding the Third Proportional to 203,508 and 412,536

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Solution

The third proportional to 203,508 and 412,536 is: 836,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,508 : 412,536 = 412,536 : x
  2. Step 2: Convert to fraction form
    203,508/412,536 = 412,536/x
  3. Step 3: Cross multiply
    203,508x = 412,536 × 412,536
  4. Step 4: Simplify right side
    203,508x = 170,185,951,296
  5. Step 5: Solve for x
    x = 170,185,951,296/203,508
  6. Step 6: Final answer
    x = 836,261.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.