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Finding the Third Proportional to 516.19 and 709.97

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Solution

The third proportional to 516.19 and 709.97 is: 976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 709.97 = 709.97 : x
  2. Step 2: Convert to fraction form
    516.19/709.97 = 709.97/x
  3. Step 3: Cross multiply
    516.19x = 709.97 × 709.97
  4. Step 4: Simplify right side
    516.19x = 504,055.63
  5. Step 5: Solve for x
    x = 504,055.63/516.19
  6. Step 6: Final answer
    x = 976.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.