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Finding the Third Proportional to 349.55 and 721.17

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Solution

The third proportional to 349.55 and 721.17 is: 1,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.55 : 721.17 = 721.17 : x
  2. Step 2: Convert to fraction form
    349.55/721.17 = 721.17/x
  3. Step 3: Cross multiply
    349.55x = 721.17 × 721.17
  4. Step 4: Simplify right side
    349.55x = 520,084.65
  5. Step 5: Solve for x
    x = 520,084.65/349.55
  6. Step 6: Final answer
    x = 1,487.87

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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.