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Finding the Third Proportional to 10,809 and 23,619

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Solution

The third proportional to 10,809 and 23,619 is: 51,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 23,619 = 23,619 : x
  2. Step 2: Convert to fraction form
    10,809/23,619 = 23,619/x
  3. Step 3: Cross multiply
    10,809x = 23,619 × 23,619
  4. Step 4: Simplify right side
    10,809x = 557,857,161
  5. Step 5: Solve for x
    x = 557,857,161/10,809
  6. Step 6: Final answer
    x = 51,610.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.