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Finding the Third Proportional to 4.12 and 6.20

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Solution

The third proportional to 4.12 and 6.20 is: 9.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.12 : 6.20 = 6.20 : x
  2. Step 2: Convert to fraction form
    4.12/6.20 = 6.20/x
  3. Step 3: Cross multiply
    4.12x = 6.20 × 6.20
  4. Step 4: Simplify right side
    4.12x = 38.45
  5. Step 5: Solve for x
    x = 38.45/4.12
  6. Step 6: Final answer
    x = 9.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.