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Finding the Third Proportional to 21,493 and 32,856.75

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Solution

The third proportional to 21,493 and 32,856.75 is: 50,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493 : 32,856.75 = 32,856.75 : x
  2. Step 2: Convert to fraction form
    21,493/32,856.75 = 32,856.75/x
  3. Step 3: Cross multiply
    21,493x = 32,856.75 × 32,856.75
  4. Step 4: Simplify right side
    21,493x = 1,079,566,020.56
  5. Step 5: Solve for x
    x = 1,079,566,020.56/21,493
  6. Step 6: Final answer
    x = 50,228.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.