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Finding the Third Proportional to 4.12 and 5.00

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Solution

The third proportional to 4.12 and 5.00 is: 6.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.12 : 5.00 = 5.00 : x
  2. Step 2: Convert to fraction form
    4.12/5.00 = 5.00/x
  3. Step 3: Cross multiply
    4.12x = 5.00 × 5.00
  4. Step 4: Simplify right side
    4.12x = 25.05
  5. Step 5: Solve for x
    x = 25.05/4.12
  6. Step 6: Final answer
    x = 6.08

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.