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Finding the Third Proportional to 331.80 and 729.63

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Solution

The third proportional to 331.80 and 729.63 is: 1,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.80 : 729.63 = 729.63 : x
  2. Step 2: Convert to fraction form
    331.80/729.63 = 729.63/x
  3. Step 3: Cross multiply
    331.80x = 729.63 × 729.63
  4. Step 4: Simplify right side
    331.80x = 532,364.04
  5. Step 5: Solve for x
    x = 532,364.04/331.80
  6. Step 6: Final answer
    x = 1,604.45

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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.