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Finding the Third Proportional to 516.38 and 1,217.81

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Solution

The third proportional to 516.38 and 1,217.81 is: 2,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 1,217.81 = 1,217.81 : x
  2. Step 2: Convert to fraction form
    516.38/1,217.81 = 1,217.81/x
  3. Step 3: Cross multiply
    516.38x = 1,217.81 × 1,217.81
  4. Step 4: Simplify right side
    516.38x = 1,483,067.29
  5. Step 5: Solve for x
    x = 1,483,067.29/516.38
  6. Step 6: Final answer
    x = 2,872.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.