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Finding the Third Proportional to 220.22 and 318.94

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Solution

The third proportional to 220.22 and 318.94 is: 461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.22 : 318.94 = 318.94 : x
  2. Step 2: Convert to fraction form
    220.22/318.94 = 318.94/x
  3. Step 3: Cross multiply
    220.22x = 318.94 × 318.94
  4. Step 4: Simplify right side
    220.22x = 101,721.13
  5. Step 5: Solve for x
    x = 101,721.13/220.22
  6. Step 6: Final answer
    x = 461.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.