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Finding the Third Proportional to 20,121 and 43,813

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Solution

The third proportional to 20,121 and 43,813 is: 95,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 43,813 = 43,813 : x
  2. Step 2: Convert to fraction form
    20,121/43,813 = 43,813/x
  3. Step 3: Cross multiply
    20,121x = 43,813 × 43,813
  4. Step 4: Simplify right side
    20,121x = 1,919,578,969
  5. Step 5: Solve for x
    x = 1,919,578,969/20,121
  6. Step 6: Final answer
    x = 95,401.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.