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Finding the Third Proportional to 512.75 and 788.88

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Solution

The third proportional to 512.75 and 788.88 is: 1,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 788.88 = 788.88 : x
  2. Step 2: Convert to fraction form
    512.75/788.88 = 788.88/x
  3. Step 3: Cross multiply
    512.75x = 788.88 × 788.88
  4. Step 4: Simplify right side
    512.75x = 622,323.77
  5. Step 5: Solve for x
    x = 622,323.77/512.75
  6. Step 6: Final answer
    x = 1,213.70

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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.