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Finding the Third Proportional to 213.54 and 391.49

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Solution

The third proportional to 213.54 and 391.49 is: 717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.54 : 391.49 = 391.49 : x
  2. Step 2: Convert to fraction form
    213.54/391.49 = 391.49/x
  3. Step 3: Cross multiply
    213.54x = 391.49 × 391.49
  4. Step 4: Simplify right side
    213.54x = 153,261.76
  5. Step 5: Solve for x
    x = 153,261.76/213.54
  6. Step 6: Final answer
    x = 717.73

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.