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Finding the Third Proportional to 398,517.75 and 859,997.25

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Solution

The third proportional to 398,517.75 and 859,997.25 is: 1,855,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,517.75 : 859,997.25 = 859,997.25 : x
  2. Step 2: Convert to fraction form
    398,517.75/859,997.25 = 859,997.25/x
  3. Step 3: Cross multiply
    398,517.75x = 859,997.25 × 859,997.25
  4. Step 4: Simplify right side
    398,517.75x = 739,595,270,007.56
  5. Step 5: Solve for x
    x = 739,595,270,007.56/398,517.75
  6. Step 6: Final answer
    x = 1,855,865.32

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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.