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Finding the Third Proportional to 55,371 and 122,162

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Solution

The third proportional to 55,371 and 122,162 is: 269,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,371 : 122,162 = 122,162 : x
  2. Step 2: Convert to fraction form
    55,371/122,162 = 122,162/x
  3. Step 3: Cross multiply
    55,371x = 122,162 × 122,162
  4. Step 4: Simplify right side
    55,371x = 14,923,554,244
  5. Step 5: Solve for x
    x = 14,923,554,244/55,371
  6. Step 6: Final answer
    x = 269,519.32

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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.