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Finding the Third Proportional to 20,132 and 42,856.75

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Solution

The third proportional to 20,132 and 42,856.75 is: 91,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132 : 42,856.75 = 42,856.75 : x
  2. Step 2: Convert to fraction form
    20,132/42,856.75 = 42,856.75/x
  3. Step 3: Cross multiply
    20,132x = 42,856.75 × 42,856.75
  4. Step 4: Simplify right side
    20,132x = 1,836,701,020.56
  5. Step 5: Solve for x
    x = 1,836,701,020.56/20,132
  6. Step 6: Final answer
    x = 91,232.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.