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Finding the Third Proportional to 33.80 and 78.28

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Solution

The third proportional to 33.80 and 78.28 is: 181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.80 : 78.28 = 78.28 : x
  2. Step 2: Convert to fraction form
    33.80/78.28 = 78.28/x
  3. Step 3: Cross multiply
    33.80x = 78.28 × 78.28
  4. Step 4: Simplify right side
    33.80x = 6,127.95
  5. Step 5: Solve for x
    x = 6,127.95/33.80
  6. Step 6: Final answer
    x = 181.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.