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Finding the Third Proportional to 133.19 and 319.06

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Solution

The third proportional to 133.19 and 319.06 is: 764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.19 : 319.06 = 319.06 : x
  2. Step 2: Convert to fraction form
    133.19/319.06 = 319.06/x
  3. Step 3: Cross multiply
    133.19x = 319.06 × 319.06
  4. Step 4: Simplify right side
    133.19x = 101,800.88
  5. Step 5: Solve for x
    x = 101,800.88/133.19
  6. Step 6: Final answer
    x = 764.34

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.