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Finding the Third Proportional to 213.19 and 320.20

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Solution

The third proportional to 213.19 and 320.20 is: 480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.19 : 320.20 = 320.20 : x
  2. Step 2: Convert to fraction form
    213.19/320.20 = 320.20/x
  3. Step 3: Cross multiply
    213.19x = 320.20 × 320.20
  4. Step 4: Simplify right side
    213.19x = 102,530.04
  5. Step 5: Solve for x
    x = 102,530.04/213.19
  6. Step 6: Final answer
    x = 480.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.