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Finding the Third Proportional to 220.36 and 331.45

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Solution

The third proportional to 220.36 and 331.45 is: 498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.36 : 331.45 = 331.45 : x
  2. Step 2: Convert to fraction form
    220.36/331.45 = 331.45/x
  3. Step 3: Cross multiply
    220.36x = 331.45 × 331.45
  4. Step 4: Simplify right side
    220.36x = 109,861.17
  5. Step 5: Solve for x
    x = 109,861.17/220.36
  6. Step 6: Final answer
    x = 498.55

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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.