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Finding the Third Proportional to 331.73 and 511.55

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Solution

The third proportional to 331.73 and 511.55 is: 788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.73 : 511.55 = 511.55 : x
  2. Step 2: Convert to fraction form
    331.73/511.55 = 511.55/x
  3. Step 3: Cross multiply
    331.73x = 511.55 × 511.55
  4. Step 4: Simplify right side
    331.73x = 261,680.21
  5. Step 5: Solve for x
    x = 261,680.21/331.73
  6. Step 6: Final answer
    x = 788.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.