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Finding the Third Proportional to 55,416 and 122,493

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Solution

The third proportional to 55,416 and 122,493 is: 270,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,416 : 122,493 = 122,493 : x
  2. Step 2: Convert to fraction form
    55,416/122,493 = 122,493/x
  3. Step 3: Cross multiply
    55,416x = 122,493 × 122,493
  4. Step 4: Simplify right side
    55,416x = 15,004,535,049
  5. Step 5: Solve for x
    x = 15,004,535,049/55,416
  6. Step 6: Final answer
    x = 270,761.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.