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Finding the Third Proportional to 18,664 and 41,128

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Solution

The third proportional to 18,664 and 41,128 is: 90,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 41,128 = 41,128 : x
  2. Step 2: Convert to fraction form
    18,664/41,128 = 41,128/x
  3. Step 3: Cross multiply
    18,664x = 41,128 × 41,128
  4. Step 4: Simplify right side
    18,664x = 1,691,512,384
  5. Step 5: Solve for x
    x = 1,691,512,384/18,664
  6. Step 6: Final answer
    x = 90,629.68

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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.