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Finding the Third Proportional to 132.88 and 193.09

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Solution

The third proportional to 132.88 and 193.09 is: 280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.88 : 193.09 = 193.09 : x
  2. Step 2: Convert to fraction form
    132.88/193.09 = 193.09/x
  3. Step 3: Cross multiply
    132.88x = 193.09 × 193.09
  4. Step 4: Simplify right side
    132.88x = 37,285.20
  5. Step 5: Solve for x
    x = 37,285.20/132.88
  6. Step 6: Final answer
    x = 280.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.