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Finding the Third Proportional to 5,305 and 11,561

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Solution

The third proportional to 5,305 and 11,561 is: 25,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305 : 11,561 = 11,561 : x
  2. Step 2: Convert to fraction form
    5,305/11,561 = 11,561/x
  3. Step 3: Cross multiply
    5,305x = 11,561 × 11,561
  4. Step 4: Simplify right side
    5,305x = 133,656,721
  5. Step 5: Solve for x
    x = 133,656,721/5,305
  6. Step 6: Final answer
    x = 25,194.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.