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Finding the Third Proportional to 50,236 and 73,842

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Solution

The third proportional to 50,236 and 73,842 is: 108,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,236 : 73,842 = 73,842 : x
  2. Step 2: Convert to fraction form
    50,236/73,842 = 73,842/x
  3. Step 3: Cross multiply
    50,236x = 73,842 × 73,842
  4. Step 4: Simplify right side
    50,236x = 5,452,640,964
  5. Step 5: Solve for x
    x = 5,452,640,964/50,236
  6. Step 6: Final answer
    x = 108,540.51

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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.