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Finding the Third Proportional to 103,744 and 151,936

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Solution

The third proportional to 103,744 and 151,936 is: 222,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,744 : 151,936 = 151,936 : x
  2. Step 2: Convert to fraction form
    103,744/151,936 = 151,936/x
  3. Step 3: Cross multiply
    103,744x = 151,936 × 151,936
  4. Step 4: Simplify right side
    103,744x = 23,084,548,096
  5. Step 5: Solve for x
    x = 23,084,548,096/103,744
  6. Step 6: Final answer
    x = 222,514.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.