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Finding the Third Proportional to 20,408 and 43,032

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Solution

The third proportional to 20,408 and 43,032 is: 90,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408 : 43,032 = 43,032 : x
  2. Step 2: Convert to fraction form
    20,408/43,032 = 43,032/x
  3. Step 3: Cross multiply
    20,408x = 43,032 × 43,032
  4. Step 4: Simplify right side
    20,408x = 1,851,753,024
  5. Step 5: Solve for x
    x = 1,851,753,024/20,408
  6. Step 6: Final answer
    x = 90,736.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.