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Finding the Third Proportional to 339.82 and 729.95

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Solution

The third proportional to 339.82 and 729.95 is: 1,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.82 : 729.95 = 729.95 : x
  2. Step 2: Convert to fraction form
    339.82/729.95 = 729.95/x
  3. Step 3: Cross multiply
    339.82x = 729.95 × 729.95
  4. Step 4: Simplify right side
    339.82x = 532,825.86
  5. Step 5: Solve for x
    x = 532,825.86/339.82
  6. Step 6: Final answer
    x = 1,567.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.