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Finding the Third Proportional to 311,033.25 and 635,188.50

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Solution

The third proportional to 311,033.25 and 635,188.50 is: 1,297,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,033.25 : 635,188.50 = 635,188.50 : x
  2. Step 2: Convert to fraction form
    311,033.25/635,188.50 = 635,188.50/x
  3. Step 3: Cross multiply
    311,033.25x = 635,188.50 × 635,188.50
  4. Step 4: Simplify right side
    311,033.25x = 403,464,430,532.25
  5. Step 5: Solve for x
    x = 403,464,430,532.25/311,033.25
  6. Step 6: Final answer
    x = 1,297,174.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.