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Finding the Third Proportional to 6.85 and 9.30

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Solution

The third proportional to 6.85 and 9.30 is: 12.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.85 : 9.30 = 9.30 : x
  2. Step 2: Convert to fraction form
    6.85/9.30 = 9.30/x
  3. Step 3: Cross multiply
    6.85x = 9.30 × 9.30
  4. Step 4: Simplify right side
    6.85x = 86.48
  5. Step 5: Solve for x
    x = 86.48/6.85
  6. Step 6: Final answer
    x = 12.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.