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Finding the Third Proportional to 221.75 and 401.50

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Solution

The third proportional to 221.75 and 401.50 is: 726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.75 : 401.50 = 401.50 : x
  2. Step 2: Convert to fraction form
    221.75/401.50 = 401.50/x
  3. Step 3: Cross multiply
    221.75x = 401.50 × 401.50
  4. Step 4: Simplify right side
    221.75x = 161,202.25
  5. Step 5: Solve for x
    x = 161,202.25/221.75
  6. Step 6: Final answer
    x = 726.95

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.