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Finding the Third Proportional to 142.22 and 220.97

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Solution

The third proportional to 142.22 and 220.97 is: 343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.22 : 220.97 = 220.97 : x
  2. Step 2: Convert to fraction form
    142.22/220.97 = 220.97/x
  3. Step 3: Cross multiply
    142.22x = 220.97 × 220.97
  4. Step 4: Simplify right side
    142.22x = 48,827.19
  5. Step 5: Solve for x
    x = 48,827.19/142.22
  6. Step 6: Final answer
    x = 343.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.