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Finding the Third Proportional to 327.66 and 511.41

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Solution

The third proportional to 327.66 and 511.41 is: 798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 511.41 = 511.41 : x
  2. Step 2: Convert to fraction form
    327.66/511.41 = 511.41/x
  3. Step 3: Cross multiply
    327.66x = 511.41 × 511.41
  4. Step 4: Simplify right side
    327.66x = 261,536.35
  5. Step 5: Solve for x
    x = 261,536.35/327.66
  6. Step 6: Final answer
    x = 798.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.