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Finding the Third Proportional to 213.38 and 318.70

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Solution

The third proportional to 213.38 and 318.70 is: 476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 318.70 = 318.70 : x
  2. Step 2: Convert to fraction form
    213.38/318.70 = 318.70/x
  3. Step 3: Cross multiply
    213.38x = 318.70 × 318.70
  4. Step 4: Simplify right side
    213.38x = 101,571.68
  5. Step 5: Solve for x
    x = 101,571.68/213.38
  6. Step 6: Final answer
    x = 476.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.