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Finding the Third Proportional to 327.80 and 513.21

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Solution

The third proportional to 327.80 and 513.21 is: 803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 513.21 = 513.21 : x
  2. Step 2: Convert to fraction form
    327.80/513.21 = 513.21/x
  3. Step 3: Cross multiply
    327.80x = 513.21 × 513.21
  4. Step 4: Simplify right side
    327.80x = 263,385.47
  5. Step 5: Solve for x
    x = 263,385.47/327.80
  6. Step 6: Final answer
    x = 803.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.