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Finding the Third Proportional to 2.08 and 4.18

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Solution

The third proportional to 2.08 and 4.18 is: 8.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.08 : 4.18 = 4.18 : x
  2. Step 2: Convert to fraction form
    2.08/4.18 = 4.18/x
  3. Step 3: Cross multiply
    2.08x = 4.18 × 4.18
  4. Step 4: Simplify right side
    2.08x = 17.46
  5. Step 5: Solve for x
    x = 17.46/2.08
  6. Step 6: Final answer
    x = 8.41

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.