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Finding the Third Proportional to 11,733 and 23,781

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Solution

The third proportional to 11,733 and 23,781 is: 48,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733 : 23,781 = 23,781 : x
  2. Step 2: Convert to fraction form
    11,733/23,781 = 23,781/x
  3. Step 3: Cross multiply
    11,733x = 23,781 × 23,781
  4. Step 4: Simplify right side
    11,733x = 565,535,961
  5. Step 5: Solve for x
    x = 565,535,961/11,733
  6. Step 6: Final answer
    x = 48,200.46

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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.