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Finding the Third Proportional to 20,121 and 43,003

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Solution

The third proportional to 20,121 and 43,003 is: 91,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 43,003 = 43,003 : x
  2. Step 2: Convert to fraction form
    20,121/43,003 = 43,003/x
  3. Step 3: Cross multiply
    20,121x = 43,003 × 43,003
  4. Step 4: Simplify right side
    20,121x = 1,849,258,009
  5. Step 5: Solve for x
    x = 1,849,258,009/20,121
  6. Step 6: Final answer
    x = 91,906.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.