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Finding the Third Proportional to 313,886 and 644,296

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Solution

The third proportional to 313,886 and 644,296 is: 1,322,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886 : 644,296 = 644,296 : x
  2. Step 2: Convert to fraction form
    313,886/644,296 = 644,296/x
  3. Step 3: Cross multiply
    313,886x = 644,296 × 644,296
  4. Step 4: Simplify right side
    313,886x = 415,117,335,616
  5. Step 5: Solve for x
    x = 415,117,335,616/313,886
  6. Step 6: Final answer
    x = 1,322,509.88

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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.