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Finding the Third Proportional to 101,408 and 226,108

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Solution

The third proportional to 101,408 and 226,108 is: 504,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,408 : 226,108 = 226,108 : x
  2. Step 2: Convert to fraction form
    101,408/226,108 = 226,108/x
  3. Step 3: Cross multiply
    101,408x = 226,108 × 226,108
  4. Step 4: Simplify right side
    101,408x = 51,124,827,664
  5. Step 5: Solve for x
    x = 51,124,827,664/101,408
  6. Step 6: Final answer
    x = 504,149.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.