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Finding the Third Proportional to 330.33 and 712.97

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Solution

The third proportional to 330.33 and 712.97 is: 1,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 712.97 = 712.97 : x
  2. Step 2: Convert to fraction form
    330.33/712.97 = 712.97/x
  3. Step 3: Cross multiply
    330.33x = 712.97 × 712.97
  4. Step 4: Simplify right side
    330.33x = 508,324.44
  5. Step 5: Solve for x
    x = 508,324.44/330.33
  6. Step 6: Final answer
    x = 1,538.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.