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Finding the Third Proportional to 318.94 and 495.49

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Solution

The third proportional to 318.94 and 495.49 is: 769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.94 : 495.49 = 495.49 : x
  2. Step 2: Convert to fraction form
    318.94/495.49 = 495.49/x
  3. Step 3: Cross multiply
    318.94x = 495.49 × 495.49
  4. Step 4: Simplify right side
    318.94x = 245,512.51
  5. Step 5: Solve for x
    x = 245,512.51/318.94
  6. Step 6: Final answer
    x = 769.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.