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Finding the Third Proportional to 135,978 and 195,849

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Solution

The third proportional to 135,978 and 195,849 is: 282,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978 : 195,849 = 195,849 : x
  2. Step 2: Convert to fraction form
    135,978/195,849 = 195,849/x
  3. Step 3: Cross multiply
    135,978x = 195,849 × 195,849
  4. Step 4: Simplify right side
    135,978x = 38,356,830,801
  5. Step 5: Solve for x
    x = 38,356,830,801/135,978
  6. Step 6: Final answer
    x = 282,081.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.