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Finding the Third Proportional to 205.22 and 301.03

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Solution

The third proportional to 205.22 and 301.03 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 301.03 = 301.03 : x
  2. Step 2: Convert to fraction form
    205.22/301.03 = 301.03/x
  3. Step 3: Cross multiply
    205.22x = 301.03 × 301.03
  4. Step 4: Simplify right side
    205.22x = 90,619.81
  5. Step 5: Solve for x
    x = 90,619.81/205.22
  6. Step 6: Final answer
    x = 441.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.