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Finding the Third Proportional to 50,802 and 111,444

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Solution

The third proportional to 50,802 and 111,444 is: 244,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802 : 111,444 = 111,444 : x
  2. Step 2: Convert to fraction form
    50,802/111,444 = 111,444/x
  3. Step 3: Cross multiply
    50,802x = 111,444 × 111,444
  4. Step 4: Simplify right side
    50,802x = 12,419,765,136
  5. Step 5: Solve for x
    x = 12,419,765,136/50,802
  6. Step 6: Final answer
    x = 244,473.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.