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Finding the Third Proportional to 419,910.75 and 629,866.13

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Solution

The third proportional to 419,910.75 and 629,866.13 is: 944,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,910.75 : 629,866.13 = 629,866.13 : x
  2. Step 2: Convert to fraction form
    419,910.75/629,866.13 = 629,866.13/x
  3. Step 3: Cross multiply
    419,910.75x = 629,866.13 × 629,866.13
  4. Step 4: Simplify right side
    419,910.75x = 396,731,335,422.52
  5. Step 5: Solve for x
    x = 396,731,335,422.52/419,910.75
  6. Step 6: Final answer
    x = 944,799.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.