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Finding the Third Proportional to 331.31 and 768.09

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Solution

The third proportional to 331.31 and 768.09 is: 1,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 768.09 = 768.09 : x
  2. Step 2: Convert to fraction form
    331.31/768.09 = 768.09/x
  3. Step 3: Cross multiply
    331.31x = 768.09 × 768.09
  4. Step 4: Simplify right side
    331.31x = 589,968.01
  5. Step 5: Solve for x
    x = 589,968.01/331.31
  6. Step 6: Final answer
    x = 1,780.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.