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Finding the Third Proportional to 378,380 and 814,162

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Solution

The third proportional to 378,380 and 814,162 is: 1,751,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,380 : 814,162 = 814,162 : x
  2. Step 2: Convert to fraction form
    378,380/814,162 = 814,162/x
  3. Step 3: Cross multiply
    378,380x = 814,162 × 814,162
  4. Step 4: Simplify right side
    378,380x = 662,859,762,244
  5. Step 5: Solve for x
    x = 662,859,762,244/378,380
  6. Step 6: Final answer
    x = 1,751,836.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.