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Finding the Third Proportional to 3.83 and 5.16

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Solution

The third proportional to 3.83 and 5.16 is: 6.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.83 : 5.16 = 5.16 : x
  2. Step 2: Convert to fraction form
    3.83/5.16 = 5.16/x
  3. Step 3: Cross multiply
    3.83x = 5.16 × 5.16
  4. Step 4: Simplify right side
    3.83x = 26.60
  5. Step 5: Solve for x
    x = 26.60/3.83
  6. Step 6: Final answer
    x = 6.94

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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.