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Finding the Third Proportional to 55,728 and 122,544

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Solution

The third proportional to 55,728 and 122,544 is: 269,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728 : 122,544 = 122,544 : x
  2. Step 2: Convert to fraction form
    55,728/122,544 = 122,544/x
  3. Step 3: Cross multiply
    55,728x = 122,544 × 122,544
  4. Step 4: Simplify right side
    55,728x = 15,017,031,936
  5. Step 5: Solve for x
    x = 15,017,031,936/55,728
  6. Step 6: Final answer
    x = 269,470.14

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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.