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Finding the Third Proportional to 33.22 and 51.55

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Solution

The third proportional to 33.22 and 51.55 is: 79.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.22 : 51.55 = 51.55 : x
  2. Step 2: Convert to fraction form
    33.22/51.55 = 51.55/x
  3. Step 3: Cross multiply
    33.22x = 51.55 × 51.55
  4. Step 4: Simplify right side
    33.22x = 2,657.08
  5. Step 5: Solve for x
    x = 2,657.08/33.22
  6. Step 6: Final answer
    x = 79.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.