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Finding the Third Proportional to 20,889 and 43,505

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Solution

The third proportional to 20,889 and 43,505 is: 90,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889 : 43,505 = 43,505 : x
  2. Step 2: Convert to fraction form
    20,889/43,505 = 43,505/x
  3. Step 3: Cross multiply
    20,889x = 43,505 × 43,505
  4. Step 4: Simplify right side
    20,889x = 1,892,685,025
  5. Step 5: Solve for x
    x = 1,892,685,025/20,889
  6. Step 6: Final answer
    x = 90,606.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.