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Finding the Third Proportional to 512.75 and 818.88

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Solution

The third proportional to 512.75 and 818.88 is: 1,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 818.88 = 818.88 : x
  2. Step 2: Convert to fraction form
    512.75/818.88 = 818.88/x
  3. Step 3: Cross multiply
    512.75x = 818.88 × 818.88
  4. Step 4: Simplify right side
    512.75x = 670,556.27
  5. Step 5: Solve for x
    x = 670,556.27/512.75
  6. Step 6: Final answer
    x = 1,307.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.