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Finding the Third Proportional to 339,653.25 and 694,053.56

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Solution

The third proportional to 339,653.25 and 694,053.56 is: 1,418,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,653.25 : 694,053.56 = 694,053.56 : x
  2. Step 2: Convert to fraction form
    339,653.25/694,053.56 = 694,053.56/x
  3. Step 3: Cross multiply
    339,653.25x = 694,053.56 × 694,053.56
  4. Step 4: Simplify right side
    339,653.25x = 481,710,347,618.94
  5. Step 5: Solve for x
    x = 481,710,347,618.94/339,653.25
  6. Step 6: Final answer
    x = 1,418,241.54

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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.