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Finding the Third Proportional to 551.11 and 826.59

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Solution

The third proportional to 551.11 and 826.59 is: 1,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.11 : 826.59 = 826.59 : x
  2. Step 2: Convert to fraction form
    551.11/826.59 = 826.59/x
  3. Step 3: Cross multiply
    551.11x = 826.59 × 826.59
  4. Step 4: Simplify right side
    551.11x = 683,257.23
  5. Step 5: Solve for x
    x = 683,257.23/551.11
  6. Step 6: Final answer
    x = 1,239.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.