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Finding the Third Proportional to 516.09 and 1,112.91

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Solution

The third proportional to 516.09 and 1,112.91 is: 2,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.09 : 1,112.91 = 1,112.91 : x
  2. Step 2: Convert to fraction form
    516.09/1,112.91 = 1,112.91/x
  3. Step 3: Cross multiply
    516.09x = 1,112.91 × 1,112.91
  4. Step 4: Simplify right side
    516.09x = 1,238,560.32
  5. Step 5: Solve for x
    x = 1,238,560.32/516.09
  6. Step 6: Final answer
    x = 2,399.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.