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Finding the Third Proportional to 221.97 and 336.03

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Solution

The third proportional to 221.97 and 336.03 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.97 : 336.03 = 336.03 : x
  2. Step 2: Convert to fraction form
    221.97/336.03 = 336.03/x
  3. Step 3: Cross multiply
    221.97x = 336.03 × 336.03
  4. Step 4: Simplify right side
    221.97x = 112,917.00
  5. Step 5: Solve for x
    x = 112,917.00/221.97
  6. Step 6: Final answer
    x = 508.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.