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Finding the Third Proportional to 4.82 and 7.07

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Solution

The third proportional to 4.82 and 7.07 is: 10.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.82 : 7.07 = 7.07 : x
  2. Step 2: Convert to fraction form
    4.82/7.07 = 7.07/x
  3. Step 3: Cross multiply
    4.82x = 7.07 × 7.07
  4. Step 4: Simplify right side
    4.82x = 49.96
  5. Step 5: Solve for x
    x = 49.96/4.82
  6. Step 6: Final answer
    x = 10.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.