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Finding the Third Proportional to 133.22 and 347.48

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Solution

The third proportional to 133.22 and 347.48 is: 906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 347.48 = 347.48 : x
  2. Step 2: Convert to fraction form
    133.22/347.48 = 347.48/x
  3. Step 3: Cross multiply
    133.22x = 347.48 × 347.48
  4. Step 4: Simplify right side
    133.22x = 120,745.39
  5. Step 5: Solve for x
    x = 120,745.39/133.22
  6. Step 6: Final answer
    x = 906.37

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.