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Finding the Third Proportional to 349.69 and 721.88

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Solution

The third proportional to 349.69 and 721.88 is: 1,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.69 : 721.88 = 721.88 : x
  2. Step 2: Convert to fraction form
    349.69/721.88 = 721.88/x
  3. Step 3: Cross multiply
    349.69x = 721.88 × 721.88
  4. Step 4: Simplify right side
    349.69x = 521,103.52
  5. Step 5: Solve for x
    x = 521,103.52/349.69
  6. Step 6: Final answer
    x = 1,490.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.