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Finding the Third Proportional to 2.03 and 3.72

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Solution

The third proportional to 2.03 and 3.72 is: 6.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.03 : 3.72 = 3.72 : x
  2. Step 2: Convert to fraction form
    2.03/3.72 = 3.72/x
  3. Step 3: Cross multiply
    2.03x = 3.72 × 3.72
  4. Step 4: Simplify right side
    2.03x = 13.81
  5. Step 5: Solve for x
    x = 13.81/2.03
  6. Step 6: Final answer
    x = 6.81

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.