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Finding the Third Proportional to 23,543 and 50,325

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Solution

The third proportional to 23,543 and 50,325 is: 107,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543 : 50,325 = 50,325 : x
  2. Step 2: Convert to fraction form
    23,543/50,325 = 50,325/x
  3. Step 3: Cross multiply
    23,543x = 50,325 × 50,325
  4. Step 4: Simplify right side
    23,543x = 2,532,605,625
  5. Step 5: Solve for x
    x = 2,532,605,625/23,543
  6. Step 6: Final answer
    x = 107,573.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.