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Finding the Third Proportional to 331.03 and 511.73

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Solution

The third proportional to 331.03 and 511.73 is: 791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.03 : 511.73 = 511.73 : x
  2. Step 2: Convert to fraction form
    331.03/511.73 = 511.73/x
  3. Step 3: Cross multiply
    331.03x = 511.73 × 511.73
  4. Step 4: Simplify right side
    331.03x = 261,872.07
  5. Step 5: Solve for x
    x = 261,872.07/331.03
  6. Step 6: Final answer
    x = 791.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.