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Finding the Third Proportional to 516.25 and 774.38

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Solution

The third proportional to 516.25 and 774.38 is: 1,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 774.38 = 774.38 : x
  2. Step 2: Convert to fraction form
    516.25/774.38 = 774.38/x
  3. Step 3: Cross multiply
    516.25x = 774.38 × 774.38
  4. Step 4: Simplify right side
    516.25x = 599,656.64
  5. Step 5: Solve for x
    x = 599,656.64/516.25
  6. Step 6: Final answer
    x = 1,161.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.