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Finding the Third Proportional to 343.88 and 516.19

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Solution

The third proportional to 343.88 and 516.19 is: 774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.88 : 516.19 = 516.19 : x
  2. Step 2: Convert to fraction form
    343.88/516.19 = 516.19/x
  3. Step 3: Cross multiply
    343.88x = 516.19 × 516.19
  4. Step 4: Simplify right side
    343.88x = 266,449.54
  5. Step 5: Solve for x
    x = 266,449.54/343.88
  6. Step 6: Final answer
    x = 774.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.