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Finding the Third Proportional to 1.73 and 3.67

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Solution

The third proportional to 1.73 and 3.67 is: 7.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.73 : 3.67 = 3.67 : x
  2. Step 2: Convert to fraction form
    1.73/3.67 = 3.67/x
  3. Step 3: Cross multiply
    1.73x = 3.67 × 3.67
  4. Step 4: Simplify right side
    1.73x = 13.44
  5. Step 5: Solve for x
    x = 13.44/1.73
  6. Step 6: Final answer
    x = 7.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.