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Finding the Third Proportional to 2.66 and 3.93

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Solution

The third proportional to 2.66 and 3.93 is: 5.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.66 : 3.93 = 3.93 : x
  2. Step 2: Convert to fraction form
    2.66/3.93 = 3.93/x
  3. Step 3: Cross multiply
    2.66x = 3.93 × 3.93
  4. Step 4: Simplify right side
    2.66x = 15.43
  5. Step 5: Solve for x
    x = 15.43/2.66
  6. Step 6: Final answer
    x = 5.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.