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Finding the Third Proportional to 3.80 and 6.18

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Solution

The third proportional to 3.80 and 6.18 is: 10.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 6.18 = 6.18 : x
  2. Step 2: Convert to fraction form
    3.80/6.18 = 6.18/x
  3. Step 3: Cross multiply
    3.80x = 6.18 × 6.18
  4. Step 4: Simplify right side
    3.80x = 38.23
  5. Step 5: Solve for x
    x = 38.23/3.80
  6. Step 6: Final answer
    x = 10.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.