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Finding the Third Proportional to 20,396 and 43,243

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Solution

The third proportional to 20,396 and 43,243 is: 91,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396 : 43,243 = 43,243 : x
  2. Step 2: Convert to fraction form
    20,396/43,243 = 43,243/x
  3. Step 3: Cross multiply
    20,396x = 43,243 × 43,243
  4. Step 4: Simplify right side
    20,396x = 1,869,957,049
  5. Step 5: Solve for x
    x = 1,869,957,049/20,396
  6. Step 6: Final answer
    x = 91,682.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.