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Finding the Third Proportional to 26,112 and 50,910

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Solution

The third proportional to 26,112 and 50,910 is: 99,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,112 : 50,910 = 50,910 : x
  2. Step 2: Convert to fraction form
    26,112/50,910 = 50,910/x
  3. Step 3: Cross multiply
    26,112x = 50,910 × 50,910
  4. Step 4: Simplify right side
    26,112x = 2,591,828,100
  5. Step 5: Solve for x
    x = 2,591,828,100/26,112
  6. Step 6: Final answer
    x = 99,258.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.