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Finding the Third Proportional to 516.66 and 648.14

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Solution

The third proportional to 516.66 and 648.14 is: 813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.66 : 648.14 = 648.14 : x
  2. Step 2: Convert to fraction form
    516.66/648.14 = 648.14/x
  3. Step 3: Cross multiply
    516.66x = 648.14 × 648.14
  4. Step 4: Simplify right side
    516.66x = 420,086.27
  5. Step 5: Solve for x
    x = 420,086.27/516.66
  6. Step 6: Final answer
    x = 813.09

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.