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Finding the Third Proportional to 16.80 and 36.35

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Solution

The third proportional to 16.80 and 36.35 is: 78.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.80 : 36.35 = 36.35 : x
  2. Step 2: Convert to fraction form
    16.80/36.35 = 36.35/x
  3. Step 3: Cross multiply
    16.80x = 36.35 × 36.35
  4. Step 4: Simplify right side
    16.80x = 1,321.44
  5. Step 5: Solve for x
    x = 1,321.44/16.80
  6. Step 6: Final answer
    x = 78.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.