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Finding the Third Proportional to 101,978 and 149,966

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Solution

The third proportional to 101,978 and 149,966 is: 220,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,978 : 149,966 = 149,966 : x
  2. Step 2: Convert to fraction form
    101,978/149,966 = 149,966/x
  3. Step 3: Cross multiply
    101,978x = 149,966 × 149,966
  4. Step 4: Simplify right side
    101,978x = 22,489,801,156
  5. Step 5: Solve for x
    x = 22,489,801,156/101,978
  6. Step 6: Final answer
    x = 220,535.81

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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.