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Finding the Third Proportional to 20,809 and 43,345

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Solution

The third proportional to 20,809 and 43,345 is: 90,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809 : 43,345 = 43,345 : x
  2. Step 2: Convert to fraction form
    20,809/43,345 = 43,345/x
  3. Step 3: Cross multiply
    20,809x = 43,345 × 43,345
  4. Step 4: Simplify right side
    20,809x = 1,878,789,025
  5. Step 5: Solve for x
    x = 1,878,789,025/20,809
  6. Step 6: Final answer
    x = 90,287.33

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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.