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Finding the Third Proportional to 1.77 and 3.54

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Solution

The third proportional to 1.77 and 3.54 is: 7.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.77 : 3.54 = 3.54 : x
  2. Step 2: Convert to fraction form
    1.77/3.54 = 3.54/x
  3. Step 3: Cross multiply
    1.77x = 3.54 × 3.54
  4. Step 4: Simplify right side
    1.77x = 12.56
  5. Step 5: Solve for x
    x = 12.56/1.77
  6. Step 6: Final answer
    x = 7.09

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.