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Finding the Third Proportional to 327.80 and 503.09

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Solution

The third proportional to 327.80 and 503.09 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 503.09 = 503.09 : x
  2. Step 2: Convert to fraction form
    327.80/503.09 = 503.09/x
  3. Step 3: Cross multiply
    327.80x = 503.09 × 503.09
  4. Step 4: Simplify right side
    327.80x = 253,095.46
  5. Step 5: Solve for x
    x = 253,095.46/327.80
  6. Step 6: Final answer
    x = 772.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.