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Finding the Third Proportional to 287,844 and 629,976

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Solution

The third proportional to 287,844 and 629,976 is: 1,378,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,844 : 629,976 = 629,976 : x
  2. Step 2: Convert to fraction form
    287,844/629,976 = 629,976/x
  3. Step 3: Cross multiply
    287,844x = 629,976 × 629,976
  4. Step 4: Simplify right side
    287,844x = 396,869,760,576
  5. Step 5: Solve for x
    x = 396,869,760,576/287,844
  6. Step 6: Final answer
    x = 1,378,766.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.