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Finding the Third Proportional to 275,310.75 and 400,982.25

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Solution

The third proportional to 275,310.75 and 400,982.25 is: 584,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,310.75 : 400,982.25 = 400,982.25 : x
  2. Step 2: Convert to fraction form
    275,310.75/400,982.25 = 400,982.25/x
  3. Step 3: Cross multiply
    275,310.75x = 400,982.25 × 400,982.25
  4. Step 4: Simplify right side
    275,310.75x = 160,786,764,815.06
  5. Step 5: Solve for x
    x = 160,786,764,815.06/275,310.75
  6. Step 6: Final answer
    x = 584,019.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.