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Finding the Third Proportional to 399,912 and 635,993

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Solution

The third proportional to 399,912 and 635,993 is: 1,011,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,912 : 635,993 = 635,993 : x
  2. Step 2: Convert to fraction form
    399,912/635,993 = 635,993/x
  3. Step 3: Cross multiply
    399,912x = 635,993 × 635,993
  4. Step 4: Simplify right side
    399,912x = 404,487,096,049
  5. Step 5: Solve for x
    x = 404,487,096,049/399,912
  6. Step 6: Final answer
    x = 1,011,440.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.