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Finding the Third Proportional to 50,212 and 73,782

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Solution

The third proportional to 50,212 and 73,782 is: 108,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,212 : 73,782 = 73,782 : x
  2. Step 2: Convert to fraction form
    50,212/73,782 = 73,782/x
  3. Step 3: Cross multiply
    50,212x = 73,782 × 73,782
  4. Step 4: Simplify right side
    50,212x = 5,443,783,524
  5. Step 5: Solve for x
    x = 5,443,783,524/50,212
  6. Step 6: Final answer
    x = 108,415.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.