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Finding the Third Proportional to 521.81 and 773.91

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Solution

The third proportional to 521.81 and 773.91 is: 1,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.81 : 773.91 = 773.91 : x
  2. Step 2: Convert to fraction form
    521.81/773.91 = 773.91/x
  3. Step 3: Cross multiply
    521.81x = 773.91 × 773.91
  4. Step 4: Simplify right side
    521.81x = 598,930.88
  5. Step 5: Solve for x
    x = 598,930.88/521.81
  6. Step 6: Final answer
    x = 1,147.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.