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Finding the Third Proportional to 1.77 and 3.42

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Solution

The third proportional to 1.77 and 3.42 is: 6.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.77 : 3.42 = 3.42 : x
  2. Step 2: Convert to fraction form
    1.77/3.42 = 3.42/x
  3. Step 3: Cross multiply
    1.77x = 3.42 × 3.42
  4. Step 4: Simplify right side
    1.77x = 11.70
  5. Step 5: Solve for x
    x = 11.70/1.77
  6. Step 6: Final answer
    x = 6.60

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.