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Finding the Third Proportional to 9,511 and 19,311

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Solution

The third proportional to 9,511 and 19,311 is: 39,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511 : 19,311 = 19,311 : x
  2. Step 2: Convert to fraction form
    9,511/19,311 = 19,311/x
  3. Step 3: Cross multiply
    9,511x = 19,311 × 19,311
  4. Step 4: Simplify right side
    9,511x = 372,914,721
  5. Step 5: Solve for x
    x = 372,914,721/9,511
  6. Step 6: Final answer
    x = 39,208.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.