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Finding the Third Proportional to 8.91 and 9.80

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Solution

The third proportional to 8.91 and 9.80 is: 10.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.91 : 9.80 = 9.80 : x
  2. Step 2: Convert to fraction form
    8.91/9.80 = 9.80/x
  3. Step 3: Cross multiply
    8.91x = 9.80 × 9.80
  4. Step 4: Simplify right side
    8.91x = 95.98
  5. Step 5: Solve for x
    x = 95.98/8.91
  6. Step 6: Final answer
    x = 10.78

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.