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Finding the Third Proportional to 16.77 and 36.39

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Solution

The third proportional to 16.77 and 36.39 is: 78.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.77 : 36.39 = 36.39 : x
  2. Step 2: Convert to fraction form
    16.77/36.39 = 36.39/x
  3. Step 3: Cross multiply
    16.77x = 36.39 × 36.39
  4. Step 4: Simplify right side
    16.77x = 1,323.99
  5. Step 5: Solve for x
    x = 1,323.99/16.77
  6. Step 6: Final answer
    x = 78.95

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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.