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Finding the Third Proportional to 11,301 and 20,172

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Solution

The third proportional to 11,301 and 20,172 is: 36,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301 : 20,172 = 20,172 : x
  2. Step 2: Convert to fraction form
    11,301/20,172 = 20,172/x
  3. Step 3: Cross multiply
    11,301x = 20,172 × 20,172
  4. Step 4: Simplify right side
    11,301x = 406,909,584
  5. Step 5: Solve for x
    x = 406,909,584/11,301
  6. Step 6: Final answer
    x = 36,006.51

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.