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Finding the Third Proportional to 313,922 and 644,388

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Solution

The third proportional to 313,922 and 644,388 is: 1,322,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,922 : 644,388 = 644,388 : x
  2. Step 2: Convert to fraction form
    313,922/644,388 = 644,388/x
  3. Step 3: Cross multiply
    313,922x = 644,388 × 644,388
  4. Step 4: Simplify right side
    313,922x = 415,235,894,544
  5. Step 5: Solve for x
    x = 415,235,894,544/313,922
  6. Step 6: Final answer
    x = 1,322,735.89

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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.