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Finding the Third Proportional to 512.44 and 820.78

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Solution

The third proportional to 512.44 and 820.78 is: 1,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 820.78 = 820.78 : x
  2. Step 2: Convert to fraction form
    512.44/820.78 = 820.78/x
  3. Step 3: Cross multiply
    512.44x = 820.78 × 820.78
  4. Step 4: Simplify right side
    512.44x = 673,681.86
  5. Step 5: Solve for x
    x = 673,681.86/512.44
  6. Step 6: Final answer
    x = 1,314.66

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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.