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Finding the Third Proportional to 381.80 and 826.24

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Solution

The third proportional to 381.80 and 826.24 is: 1,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 826.24 = 826.24 : x
  2. Step 2: Convert to fraction form
    381.80/826.24 = 826.24/x
  3. Step 3: Cross multiply
    381.80x = 826.24 × 826.24
  4. Step 4: Simplify right side
    381.80x = 682,676.15
  5. Step 5: Solve for x
    x = 682,676.15/381.80
  6. Step 6: Final answer
    x = 1,788.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.