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Finding the Third Proportional to 1.67 and 2.78

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Solution

The third proportional to 1.67 and 2.78 is: 4.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.67 : 2.78 = 2.78 : x
  2. Step 2: Convert to fraction form
    1.67/2.78 = 2.78/x
  3. Step 3: Cross multiply
    1.67x = 2.78 × 2.78
  4. Step 4: Simplify right side
    1.67x = 7.73
  5. Step 5: Solve for x
    x = 7.73/1.67
  6. Step 6: Final answer
    x = 4.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.