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Finding the Third Proportional to 7.07 and 18.57

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Solution

The third proportional to 7.07 and 18.57 is: 48.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 18.57 = 18.57 : x
  2. Step 2: Convert to fraction form
    7.07/18.57 = 18.57/x
  3. Step 3: Cross multiply
    7.07x = 18.57 × 18.57
  4. Step 4: Simplify right side
    7.07x = 344.72
  5. Step 5: Solve for x
    x = 344.72/7.07
  6. Step 6: Final answer
    x = 48.76

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.