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Finding the Third Proportional to 6.86 and 10.98

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Solution

The third proportional to 6.86 and 10.98 is: 17.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 10.98 = 10.98 : x
  2. Step 2: Convert to fraction form
    6.86/10.98 = 10.98/x
  3. Step 3: Cross multiply
    6.86x = 10.98 × 10.98
  4. Step 4: Simplify right side
    6.86x = 120.62
  5. Step 5: Solve for x
    x = 120.62/6.86
  6. Step 6: Final answer
    x = 17.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.