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Finding the Third Proportional to 213.05 and 321.68

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Solution

The third proportional to 213.05 and 321.68 is: 485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 321.68 = 321.68 : x
  2. Step 2: Convert to fraction form
    213.05/321.68 = 321.68/x
  3. Step 3: Cross multiply
    213.05x = 321.68 × 321.68
  4. Step 4: Simplify right side
    213.05x = 103,477.82
  5. Step 5: Solve for x
    x = 103,477.82/213.05
  6. Step 6: Final answer
    x = 485.70

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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.