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Finding the Third Proportional to 133.31 and 194.06

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Solution

The third proportional to 133.31 and 194.06 is: 282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.31 : 194.06 = 194.06 : x
  2. Step 2: Convert to fraction form
    133.31/194.06 = 194.06/x
  3. Step 3: Cross multiply
    133.31x = 194.06 × 194.06
  4. Step 4: Simplify right side
    133.31x = 37,660.25
  5. Step 5: Solve for x
    x = 37,660.25/133.31
  6. Step 6: Final answer
    x = 282.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.