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Finding the Third Proportional to 6.85 and 8.90

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Solution

The third proportional to 6.85 and 8.90 is: 11.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.85 : 8.90 = 8.90 : x
  2. Step 2: Convert to fraction form
    6.85/8.90 = 8.90/x
  3. Step 3: Cross multiply
    6.85x = 8.90 × 8.90
  4. Step 4: Simplify right side
    6.85x = 79.29
  5. Step 5: Solve for x
    x = 79.29/6.85
  6. Step 6: Final answer
    x = 11.58

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.