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Finding the Third Proportional to 55,628 and 122,380

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Solution

The third proportional to 55,628 and 122,380 is: 269,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,628 : 122,380 = 122,380 : x
  2. Step 2: Convert to fraction form
    55,628/122,380 = 122,380/x
  3. Step 3: Cross multiply
    55,628x = 122,380 × 122,380
  4. Step 4: Simplify right side
    55,628x = 14,976,864,400
  5. Step 5: Solve for x
    x = 14,976,864,400/55,628
  6. Step 6: Final answer
    x = 269,232.48

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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.