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Finding the Third Proportional to 15.53 and 33.42

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Solution

The third proportional to 15.53 and 33.42 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.53 : 33.42 = 33.42 : x
  2. Step 2: Convert to fraction form
    15.53/33.42 = 33.42/x
  3. Step 3: Cross multiply
    15.53x = 33.42 × 33.42
  4. Step 4: Simplify right side
    15.53x = 1,116.92
  5. Step 5: Solve for x
    x = 1,116.92/15.53
  6. Step 6: Final answer
    x = 71.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.