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Finding the Third Proportional to 16.80 and 36.47

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Solution

The third proportional to 16.80 and 36.47 is: 79.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.80 : 36.47 = 36.47 : x
  2. Step 2: Convert to fraction form
    16.80/36.47 = 36.47/x
  3. Step 3: Cross multiply
    16.80x = 36.47 × 36.47
  4. Step 4: Simplify right side
    16.80x = 1,329.97
  5. Step 5: Solve for x
    x = 1,329.97/16.80
  6. Step 6: Final answer
    x = 79.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.