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Finding the Third Proportional to 55,792 and 122,672

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Solution

The third proportional to 55,792 and 122,672 is: 269,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,792 : 122,672 = 122,672 : x
  2. Step 2: Convert to fraction form
    55,792/122,672 = 122,672/x
  3. Step 3: Cross multiply
    55,792x = 122,672 × 122,672
  4. Step 4: Simplify right side
    55,792x = 15,048,419,584
  5. Step 5: Solve for x
    x = 15,048,419,584/55,792
  6. Step 6: Final answer
    x = 269,723.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.