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Finding the Third Proportional to 11,511 and 18,366

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Solution

The third proportional to 11,511 and 18,366 is: 29,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511 : 18,366 = 18,366 : x
  2. Step 2: Convert to fraction form
    11,511/18,366 = 18,366/x
  3. Step 3: Cross multiply
    11,511x = 18,366 × 18,366
  4. Step 4: Simplify right side
    11,511x = 337,309,956
  5. Step 5: Solve for x
    x = 337,309,956/11,511
  6. Step 6: Final answer
    x = 29,303.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.