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Finding the Third Proportional to 516.09 and 709.17

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Solution

The third proportional to 516.09 and 709.17 is: 974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.09 : 709.17 = 709.17 : x
  2. Step 2: Convert to fraction form
    516.09/709.17 = 709.17/x
  3. Step 3: Cross multiply
    516.09x = 709.17 × 709.17
  4. Step 4: Simplify right side
    516.09x = 502,924.75
  5. Step 5: Solve for x
    x = 502,924.75/516.09
  6. Step 6: Final answer
    x = 974.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.