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Finding the Third Proportional to 311,902 and 635,107

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Solution

The third proportional to 311,902 and 635,107 is: 1,293,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,902 : 635,107 = 635,107 : x
  2. Step 2: Convert to fraction form
    311,902/635,107 = 635,107/x
  3. Step 3: Cross multiply
    311,902x = 635,107 × 635,107
  4. Step 4: Simplify right side
    311,902x = 403,360,901,449
  5. Step 5: Solve for x
    x = 403,360,901,449/311,902
  6. Step 6: Final answer
    x = 1,293,229.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.