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Finding the Third Proportional to 378,366 and 814,128

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Solution

The third proportional to 378,366 and 814,128 is: 1,751,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,366 : 814,128 = 814,128 : x
  2. Step 2: Convert to fraction form
    378,366/814,128 = 814,128/x
  3. Step 3: Cross multiply
    378,366x = 814,128 × 814,128
  4. Step 4: Simplify right side
    378,366x = 662,804,400,384
  5. Step 5: Solve for x
    x = 662,804,400,384/378,366
  6. Step 6: Final answer
    x = 1,751,754.65

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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.