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Finding the Third Proportional to 203,485 and 412,508

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Solution

The third proportional to 203,485 and 412,508 is: 836,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,485 : 412,508 = 412,508 : x
  2. Step 2: Convert to fraction form
    203,485/412,508 = 412,508/x
  3. Step 3: Cross multiply
    203,485x = 412,508 × 412,508
  4. Step 4: Simplify right side
    203,485x = 170,162,850,064
  5. Step 5: Solve for x
    x = 170,162,850,064/203,485
  6. Step 6: Final answer
    x = 836,242.72

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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.