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Finding the Third Proportional to 512.25 and 764.25

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Solution

The third proportional to 512.25 and 764.25 is: 1,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.25 : 764.25 = 764.25 : x
  2. Step 2: Convert to fraction form
    512.25/764.25 = 764.25/x
  3. Step 3: Cross multiply
    512.25x = 764.25 × 764.25
  4. Step 4: Simplify right side
    512.25x = 584,078.06
  5. Step 5: Solve for x
    x = 584,078.06/512.25
  6. Step 6: Final answer
    x = 1,140.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.