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Finding the Third Proportional to 149,722 and 220,199

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Solution

The third proportional to 149,722 and 220,199 is: 323,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,722 : 220,199 = 220,199 : x
  2. Step 2: Convert to fraction form
    149,722/220,199 = 220,199/x
  3. Step 3: Cross multiply
    149,722x = 220,199 × 220,199
  4. Step 4: Simplify right side
    149,722x = 48,487,599,601
  5. Step 5: Solve for x
    x = 48,487,599,601/149,722
  6. Step 6: Final answer
    x = 323,850.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.