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Finding the Third Proportional to 15.24 and 33.55

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Solution

The third proportional to 15.24 and 33.55 is: 73.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.24 : 33.55 = 33.55 : x
  2. Step 2: Convert to fraction form
    15.24/33.55 = 33.55/x
  3. Step 3: Cross multiply
    15.24x = 33.55 × 33.55
  4. Step 4: Simplify right side
    15.24x = 1,125.70
  5. Step 5: Solve for x
    x = 1,125.70/15.24
  6. Step 6: Final answer
    x = 73.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.