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Finding the Third Proportional to 20,781 and 45,936

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Solution

The third proportional to 20,781 and 45,936 is: 101,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781 : 45,936 = 45,936 : x
  2. Step 2: Convert to fraction form
    20,781/45,936 = 45,936/x
  3. Step 3: Cross multiply
    20,781x = 45,936 × 45,936
  4. Step 4: Simplify right side
    20,781x = 2,110,116,096
  5. Step 5: Solve for x
    x = 2,110,116,096/20,781
  6. Step 6: Final answer
    x = 101,540.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.