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Finding the Third Proportional to 512.81 and 773.44

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Solution

The third proportional to 512.81 and 773.44 is: 1,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.81 : 773.44 = 773.44 : x
  2. Step 2: Convert to fraction form
    512.81/773.44 = 773.44/x
  3. Step 3: Cross multiply
    512.81x = 773.44 × 773.44
  4. Step 4: Simplify right side
    512.81x = 598,205.57
  5. Step 5: Solve for x
    x = 598,205.57/512.81
  6. Step 6: Final answer
    x = 1,166.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.