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Finding the Third Proportional to 313,857 and 644,238

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Solution

The third proportional to 313,857 and 644,238 is: 1,322,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,857 : 644,238 = 644,238 : x
  2. Step 2: Convert to fraction form
    313,857/644,238 = 644,238/x
  3. Step 3: Cross multiply
    313,857x = 644,238 × 644,238
  4. Step 4: Simplify right side
    313,857x = 415,042,600,644
  5. Step 5: Solve for x
    x = 415,042,600,644/313,857
  6. Step 6: Final answer
    x = 1,322,393.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.