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Finding the Third Proportional to 20,862 and 43,450

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Solution

The third proportional to 20,862 and 43,450 is: 90,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862 : 43,450 = 43,450 : x
  2. Step 2: Convert to fraction form
    20,862/43,450 = 43,450/x
  3. Step 3: Cross multiply
    20,862x = 43,450 × 43,450
  4. Step 4: Simplify right side
    20,862x = 1,887,902,500
  5. Step 5: Solve for x
    x = 1,887,902,500/20,862
  6. Step 6: Final answer
    x = 90,494.80

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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.