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Finding the Third Proportional to 50,910 and 109,116

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Solution

The third proportional to 50,910 and 109,116 is: 233,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,910 : 109,116 = 109,116 : x
  2. Step 2: Convert to fraction form
    50,910/109,116 = 109,116/x
  3. Step 3: Cross multiply
    50,910x = 109,116 × 109,116
  4. Step 4: Simplify right side
    50,910x = 11,906,301,456
  5. Step 5: Solve for x
    x = 11,906,301,456/50,910
  6. Step 6: Final answer
    x = 233,869.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.