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Finding the Third Proportional to 7.07 and 9.51

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Solution

The third proportional to 7.07 and 9.51 is: 12.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 9.51 = 9.51 : x
  2. Step 2: Convert to fraction form
    7.07/9.51 = 9.51/x
  3. Step 3: Cross multiply
    7.07x = 9.51 × 9.51
  4. Step 4: Simplify right side
    7.07x = 90.42
  5. Step 5: Solve for x
    x = 90.42/7.07
  6. Step 6: Final answer
    x = 12.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.