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Finding the Third Proportional to 33.21 and 51.30

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Solution

The third proportional to 33.21 and 51.30 is: 79.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.21 : 51.30 = 51.30 : x
  2. Step 2: Convert to fraction form
    33.21/51.30 = 51.30/x
  3. Step 3: Cross multiply
    33.21x = 51.30 × 51.30
  4. Step 4: Simplify right side
    33.21x = 2,632.17
  5. Step 5: Solve for x
    x = 2,632.17/33.21
  6. Step 6: Final answer
    x = 79.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.