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Finding the Third Proportional to 285,425.25 and 627,350.25

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Solution

The third proportional to 285,425.25 and 627,350.25 is: 1,378,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,425.25 : 627,350.25 = 627,350.25 : x
  2. Step 2: Convert to fraction form
    285,425.25/627,350.25 = 627,350.25/x
  3. Step 3: Cross multiply
    285,425.25x = 627,350.25 × 627,350.25
  4. Step 4: Simplify right side
    285,425.25x = 393,568,336,175.06
  5. Step 5: Solve for x
    x = 393,568,336,175.06/285,425.25
  6. Step 6: Final answer
    x = 1,378,884.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.