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Finding the Third Proportional to 146.25 and 221.63

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Solution

The third proportional to 146.25 and 221.63 is: 335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 221.63 = 221.63 : x
  2. Step 2: Convert to fraction form
    146.25/221.63 = 221.63/x
  3. Step 3: Cross multiply
    146.25x = 221.63 × 221.63
  4. Step 4: Simplify right side
    146.25x = 49,117.64
  5. Step 5: Solve for x
    x = 49,117.64/146.25
  6. Step 6: Final answer
    x = 335.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.