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Finding the Third Proportional to 50,936 and 109,396

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Solution

The third proportional to 50,936 and 109,396 is: 234,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,936 : 109,396 = 109,396 : x
  2. Step 2: Convert to fraction form
    50,936/109,396 = 109,396/x
  3. Step 3: Cross multiply
    50,936x = 109,396 × 109,396
  4. Step 4: Simplify right side
    50,936x = 11,967,484,816
  5. Step 5: Solve for x
    x = 11,967,484,816/50,936
  6. Step 6: Final answer
    x = 234,951.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.