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Finding the Third Proportional to 15.55 and 33.84

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Solution

The third proportional to 15.55 and 33.84 is: 73.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.55 : 33.84 = 33.84 : x
  2. Step 2: Convert to fraction form
    15.55/33.84 = 33.84/x
  3. Step 3: Cross multiply
    15.55x = 33.84 × 33.84
  4. Step 4: Simplify right side
    15.55x = 1,145.40
  5. Step 5: Solve for x
    x = 1,145.40/15.55
  6. Step 6: Final answer
    x = 73.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.