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Finding the Third Proportional to 6.89 and 10.62

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Solution

The third proportional to 6.89 and 10.62 is: 16.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.89 : 10.62 = 10.62 : x
  2. Step 2: Convert to fraction form
    6.89/10.62 = 10.62/x
  3. Step 3: Cross multiply
    6.89x = 10.62 × 10.62
  4. Step 4: Simplify right side
    6.89x = 112.72
  5. Step 5: Solve for x
    x = 112.72/6.89
  6. Step 6: Final answer
    x = 16.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.