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Finding the Third Proportional to 330.38 and 762.94

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Solution

The third proportional to 330.38 and 762.94 is: 1,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 762.94 = 762.94 : x
  2. Step 2: Convert to fraction form
    330.38/762.94 = 762.94/x
  3. Step 3: Cross multiply
    330.38x = 762.94 × 762.94
  4. Step 4: Simplify right side
    330.38x = 582,073.63
  5. Step 5: Solve for x
    x = 582,073.63/330.38
  6. Step 6: Final answer
    x = 1,761.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.