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Finding the Third Proportional to 419,816.25 and 629,062.88

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Solution

The third proportional to 419,816.25 and 629,062.88 is: 942,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,816.25 : 629,062.88 = 629,062.88 : x
  2. Step 2: Convert to fraction form
    419,816.25/629,062.88 = 629,062.88/x
  3. Step 3: Cross multiply
    419,816.25x = 629,062.88 × 629,062.88
  4. Step 4: Simplify right side
    419,816.25x = 395,720,100,703.27
  5. Step 5: Solve for x
    x = 395,720,100,703.27/419,816.25
  6. Step 6: Final answer
    x = 942,603.10

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