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Finding the Third Proportional to 313,852 and 644,228

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Solution

The third proportional to 313,852 and 644,228 is: 1,322,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,852 : 644,228 = 644,228 : x
  2. Step 2: Convert to fraction form
    313,852/644,228 = 644,228/x
  3. Step 3: Cross multiply
    313,852x = 644,228 × 644,228
  4. Step 4: Simplify right side
    313,852x = 415,029,715,984
  5. Step 5: Solve for x
    x = 415,029,715,984/313,852
  6. Step 6: Final answer
    x = 1,322,373.97

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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.