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Finding the Third Proportional to 20,203 and 30,243

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Solution

The third proportional to 20,203 and 30,243 is: 45,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203 : 30,243 = 30,243 : x
  2. Step 2: Convert to fraction form
    20,203/30,243 = 30,243/x
  3. Step 3: Cross multiply
    20,203x = 30,243 × 30,243
  4. Step 4: Simplify right side
    20,203x = 914,639,049
  5. Step 5: Solve for x
    x = 914,639,049/20,203
  6. Step 6: Final answer
    x = 45,272.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.