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Finding the Third Proportional to 309,399.75 and 638,072.44

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Solution

The third proportional to 309,399.75 and 638,072.44 is: 1,315,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,399.75 : 638,072.44 = 638,072.44 : x
  2. Step 2: Convert to fraction form
    309,399.75/638,072.44 = 638,072.44/x
  3. Step 3: Cross multiply
    309,399.75x = 638,072.44 × 638,072.44
  4. Step 4: Simplify right side
    309,399.75x = 407,136,435,497.19
  5. Step 5: Solve for x
    x = 407,136,435,497.19/309,399.75
  6. Step 6: Final answer
    x = 1,315,891.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.