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Finding the Third Proportional to 6.02 and 8.83

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Solution

The third proportional to 6.02 and 8.83 is: 12.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.02 : 8.83 = 8.83 : x
  2. Step 2: Convert to fraction form
    6.02/8.83 = 8.83/x
  3. Step 3: Cross multiply
    6.02x = 8.83 × 8.83
  4. Step 4: Simplify right side
    6.02x = 77.88
  5. Step 5: Solve for x
    x = 77.88/6.02
  6. Step 6: Final answer
    x = 12.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.