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Finding the Third Proportional to 300,504 and 647,663

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Solution

The third proportional to 300,504 and 647,663 is: 1,395,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,504 : 647,663 = 647,663 : x
  2. Step 2: Convert to fraction form
    300,504/647,663 = 647,663/x
  3. Step 3: Cross multiply
    300,504x = 647,663 × 647,663
  4. Step 4: Simplify right side
    300,504x = 419,467,361,569
  5. Step 5: Solve for x
    x = 419,467,361,569/300,504
  6. Step 6: Final answer
    x = 1,395,879.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.