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Finding the Third Proportional to 4.03 and 10.20

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Solution

The third proportional to 4.03 and 10.20 is: 25.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.03 : 10.20 = 10.20 : x
  2. Step 2: Convert to fraction form
    4.03/10.20 = 10.20/x
  3. Step 3: Cross multiply
    4.03x = 10.20 × 10.20
  4. Step 4: Simplify right side
    4.03x = 104.12
  5. Step 5: Solve for x
    x = 104.12/4.03
  6. Step 6: Final answer
    x = 25.81

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.