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Finding the Third Proportional to 133.19 and 180.09

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Solution

The third proportional to 133.19 and 180.09 is: 243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.19 : 180.09 = 180.09 : x
  2. Step 2: Convert to fraction form
    133.19/180.09 = 180.09/x
  3. Step 3: Cross multiply
    133.19x = 180.09 × 180.09
  4. Step 4: Simplify right side
    133.19x = 32,433.76
  5. Step 5: Solve for x
    x = 32,433.76/133.19
  6. Step 6: Final answer
    x = 243.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.