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Finding the Third Proportional to 6.86 and 16.63

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Solution

The third proportional to 6.86 and 16.63 is: 40.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 16.63 = 16.63 : x
  2. Step 2: Convert to fraction form
    6.86/16.63 = 16.63/x
  3. Step 3: Cross multiply
    6.86x = 16.63 × 16.63
  4. Step 4: Simplify right side
    6.86x = 276.47
  5. Step 5: Solve for x
    x = 276.47/6.86
  6. Step 6: Final answer
    x = 40.29

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.