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Finding the Third Proportional to 50,750 and 109,132

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Solution

The third proportional to 50,750 and 109,132 is: 234,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,750 : 109,132 = 109,132 : x
  2. Step 2: Convert to fraction form
    50,750/109,132 = 109,132/x
  3. Step 3: Cross multiply
    50,750x = 109,132 × 109,132
  4. Step 4: Simplify right side
    50,750x = 11,909,793,424
  5. Step 5: Solve for x
    x = 11,909,793,424/50,750
  6. Step 6: Final answer
    x = 234,675.73

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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.