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Finding the Third Proportional to 2.22 and 3.78

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Solution

The third proportional to 2.22 and 3.78 is: 6.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.22 : 3.78 = 3.78 : x
  2. Step 2: Convert to fraction form
    2.22/3.78 = 3.78/x
  3. Step 3: Cross multiply
    2.22x = 3.78 × 3.78
  4. Step 4: Simplify right side
    2.22x = 14.33
  5. Step 5: Solve for x
    x = 14.33/2.22
  6. Step 6: Final answer
    x = 6.45

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.