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Finding the Third Proportional to 1.74 and 3.86

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Solution

The third proportional to 1.74 and 3.86 is: 8.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.74 : 3.86 = 3.86 : x
  2. Step 2: Convert to fraction form
    1.74/3.86 = 3.86/x
  3. Step 3: Cross multiply
    1.74x = 3.86 × 3.86
  4. Step 4: Simplify right side
    1.74x = 14.92
  5. Step 5: Solve for x
    x = 14.92/1.74
  6. Step 6: Final answer
    x = 8.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.