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Finding the Third Proportional to 397,240 and 811,976

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Solution

The third proportional to 397,240 and 811,976 is: 1,659,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,240 : 811,976 = 811,976 : x
  2. Step 2: Convert to fraction form
    397,240/811,976 = 811,976/x
  3. Step 3: Cross multiply
    397,240x = 811,976 × 811,976
  4. Step 4: Simplify right side
    397,240x = 659,305,024,576
  5. Step 5: Solve for x
    x = 659,305,024,576/397,240
  6. Step 6: Final answer
    x = 1,659,714.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.