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Finding the Third Proportional to 7.89 and 8.83

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Solution

The third proportional to 7.89 and 8.83 is: 9.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.89 : 8.83 = 8.83 : x
  2. Step 2: Convert to fraction form
    7.89/8.83 = 8.83/x
  3. Step 3: Cross multiply
    7.89x = 8.83 × 8.83
  4. Step 4: Simplify right side
    7.89x = 77.94
  5. Step 5: Solve for x
    x = 77.94/7.89
  6. Step 6: Final answer
    x = 9.88

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.