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Finding the Third Proportional to 16.61 and 35.91

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Solution

The third proportional to 16.61 and 35.91 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.61 : 35.91 = 35.91 : x
  2. Step 2: Convert to fraction form
    16.61/35.91 = 35.91/x
  3. Step 3: Cross multiply
    16.61x = 35.91 × 35.91
  4. Step 4: Simplify right side
    16.61x = 1,289.68
  5. Step 5: Solve for x
    x = 1,289.68/16.61
  6. Step 6: Final answer
    x = 77.64

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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.