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Finding the Third Proportional to 20,021 and 43,138

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Solution

The third proportional to 20,021 and 43,138 is: 92,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021 : 43,138 = 43,138 : x
  2. Step 2: Convert to fraction form
    20,021/43,138 = 43,138/x
  3. Step 3: Cross multiply
    20,021x = 43,138 × 43,138
  4. Step 4: Simplify right side
    20,021x = 1,860,887,044
  5. Step 5: Solve for x
    x = 1,860,887,044/20,021
  6. Step 6: Final answer
    x = 92,946.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.