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Finding the Third Proportional to 516.38 and 819.94

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Solution

The third proportional to 516.38 and 819.94 is: 1,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 819.94 = 819.94 : x
  2. Step 2: Convert to fraction form
    516.38/819.94 = 819.94/x
  3. Step 3: Cross multiply
    516.38x = 819.94 × 819.94
  4. Step 4: Simplify right side
    516.38x = 672,297.50
  5. Step 5: Solve for x
    x = 672,297.50/516.38
  6. Step 6: Final answer
    x = 1,301.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.