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Finding the Third Proportional to 6.02 and 8.03

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Solution

The third proportional to 6.02 and 8.03 is: 10.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.02 : 8.03 = 8.03 : x
  2. Step 2: Convert to fraction form
    6.02/8.03 = 8.03/x
  3. Step 3: Cross multiply
    6.02x = 8.03 × 8.03
  4. Step 4: Simplify right side
    6.02x = 64.52
  5. Step 5: Solve for x
    x = 64.52/6.02
  6. Step 6: Final answer
    x = 10.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.