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Finding the Third Proportional to 512.44 and 788.75

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Solution

The third proportional to 512.44 and 788.75 is: 1,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 788.75 = 788.75 : x
  2. Step 2: Convert to fraction form
    512.44/788.75 = 788.75/x
  3. Step 3: Cross multiply
    512.44x = 788.75 × 788.75
  4. Step 4: Simplify right side
    512.44x = 622,126.56
  5. Step 5: Solve for x
    x = 622,126.56/512.44
  6. Step 6: Final answer
    x = 1,214.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.