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Finding the Third Proportional to 323,728 and 660,296

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Solution

The third proportional to 323,728 and 660,296 is: 1,346,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,728 : 660,296 = 660,296 : x
  2. Step 2: Convert to fraction form
    323,728/660,296 = 660,296/x
  3. Step 3: Cross multiply
    323,728x = 660,296 × 660,296
  4. Step 4: Simplify right side
    323,728x = 435,990,807,616
  5. Step 5: Solve for x
    x = 435,990,807,616/323,728
  6. Step 6: Final answer
    x = 1,346,781.27

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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.