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Finding the Third Proportional to 378.47 and 814.92

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Solution

The third proportional to 378.47 and 814.92 is: 1,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 814.92 = 814.92 : x
  2. Step 2: Convert to fraction form
    378.47/814.92 = 814.92/x
  3. Step 3: Cross multiply
    378.47x = 814.92 × 814.92
  4. Step 4: Simplify right side
    378.47x = 664,097.66
  5. Step 5: Solve for x
    x = 664,097.66/378.47
  6. Step 6: Final answer
    x = 1,754.70

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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.