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Finding the Third Proportional to 256,375.75 and 398,002.75

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Solution

The third proportional to 256,375.75 and 398,002.75 is: 617,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,375.75 : 398,002.75 = 398,002.75 : x
  2. Step 2: Convert to fraction form
    256,375.75/398,002.75 = 398,002.75/x
  3. Step 3: Cross multiply
    256,375.75x = 398,002.75 × 398,002.75
  4. Step 4: Simplify right side
    256,375.75x = 158,406,189,007.56
  5. Step 5: Solve for x
    x = 158,406,189,007.56/256,375.75
  6. Step 6: Final answer
    x = 617,867.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.