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Finding the Third Proportional to 331.97 and 729.47

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Solution

The third proportional to 331.97 and 729.47 is: 1,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 729.47 = 729.47 : x
  2. Step 2: Convert to fraction form
    331.97/729.47 = 729.47/x
  3. Step 3: Cross multiply
    331.97x = 729.47 × 729.47
  4. Step 4: Simplify right side
    331.97x = 532,124.66
  5. Step 5: Solve for x
    x = 532,124.66/331.97
  6. Step 6: Final answer
    x = 1,602.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.