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Finding the Third Proportional to 327.80 and 727.73

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Solution

The third proportional to 327.80 and 727.73 is: 1,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 727.73 = 727.73 : x
  2. Step 2: Convert to fraction form
    327.80/727.73 = 727.73/x
  3. Step 3: Cross multiply
    327.80x = 727.73 × 727.73
  4. Step 4: Simplify right side
    327.80x = 529,597.32
  5. Step 5: Solve for x
    x = 529,597.32/327.80
  6. Step 6: Final answer
    x = 1,615.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.