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Finding the Third Proportional to 3.54 and 4.82

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Solution

The third proportional to 3.54 and 4.82 is: 6.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.54 : 4.82 = 4.82 : x
  2. Step 2: Convert to fraction form
    3.54/4.82 = 4.82/x
  3. Step 3: Cross multiply
    3.54x = 4.82 × 4.82
  4. Step 4: Simplify right side
    3.54x = 23.24
  5. Step 5: Solve for x
    x = 23.24/3.54
  6. Step 6: Final answer
    x = 6.57

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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.