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Finding the Third Proportional to 378.28 and 826.31

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Solution

The third proportional to 378.28 and 826.31 is: 1,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.28 : 826.31 = 826.31 : x
  2. Step 2: Convert to fraction form
    378.28/826.31 = 826.31/x
  3. Step 3: Cross multiply
    378.28x = 826.31 × 826.31
  4. Step 4: Simplify right side
    378.28x = 682,792.35
  5. Step 5: Solve for x
    x = 682,792.35/378.28
  6. Step 6: Final answer
    x = 1,804.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.