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Finding the Third Proportional to 133.24 and 186.57

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Solution

The third proportional to 133.24 and 186.57 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.24 : 186.57 = 186.57 : x
  2. Step 2: Convert to fraction form
    133.24/186.57 = 186.57/x
  3. Step 3: Cross multiply
    133.24x = 186.57 × 186.57
  4. Step 4: Simplify right side
    133.24x = 34,809.94
  5. Step 5: Solve for x
    x = 34,809.94/133.24
  6. Step 6: Final answer
    x = 261.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.