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Finding the Third Proportional to 329.12 and 495.76

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Solution

The third proportional to 329.12 and 495.76 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.12 : 495.76 = 495.76 : x
  2. Step 2: Convert to fraction form
    329.12/495.76 = 495.76/x
  3. Step 3: Cross multiply
    329.12x = 495.76 × 495.76
  4. Step 4: Simplify right side
    329.12x = 245,773.87
  5. Step 5: Solve for x
    x = 245,773.87/329.12
  6. Step 6: Final answer
    x = 746.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.