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Finding the Third Proportional to 327.75 and 505.88

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Solution

The third proportional to 327.75 and 505.88 is: 780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.75 : 505.88 = 505.88 : x
  2. Step 2: Convert to fraction form
    327.75/505.88 = 505.88/x
  3. Step 3: Cross multiply
    327.75x = 505.88 × 505.88
  4. Step 4: Simplify right side
    327.75x = 255,909.52
  5. Step 5: Solve for x
    x = 255,909.52/327.75
  6. Step 6: Final answer
    x = 780.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.