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Finding the Third Proportional to 424,926 and 638,379

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Solution

The third proportional to 424,926 and 638,379 is: 959,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,926 : 638,379 = 638,379 : x
  2. Step 2: Convert to fraction form
    424,926/638,379 = 638,379/x
  3. Step 3: Cross multiply
    424,926x = 638,379 × 638,379
  4. Step 4: Simplify right side
    424,926x = 407,527,747,641
  5. Step 5: Solve for x
    x = 407,527,747,641/424,926
  6. Step 6: Final answer
    x = 959,055.81

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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.