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Finding the Third Proportional to 295,845.75 and 639,003.75

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Solution

The third proportional to 295,845.75 and 639,003.75 is: 1,380,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,845.75 : 639,003.75 = 639,003.75 : x
  2. Step 2: Convert to fraction form
    295,845.75/639,003.75 = 639,003.75/x
  3. Step 3: Cross multiply
    295,845.75x = 639,003.75 × 639,003.75
  4. Step 4: Simplify right side
    295,845.75x = 408,325,792,514.06
  5. Step 5: Solve for x
    x = 408,325,792,514.06/295,845.75
  6. Step 6: Final answer
    x = 1,380,198.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.