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Finding the Third Proportional to 16.63 and 39.05

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Solution

The third proportional to 16.63 and 39.05 is: 91.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.63 : 39.05 = 39.05 : x
  2. Step 2: Convert to fraction form
    16.63/39.05 = 39.05/x
  3. Step 3: Cross multiply
    16.63x = 39.05 × 39.05
  4. Step 4: Simplify right side
    16.63x = 1,524.85
  5. Step 5: Solve for x
    x = 1,524.85/16.63
  6. Step 6: Final answer
    x = 91.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.