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Finding the Third Proportional to 9.70 and 12.80

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Solution

The third proportional to 9.70 and 12.80 is: 16.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 12.80 = 12.80 : x
  2. Step 2: Convert to fraction form
    9.70/12.80 = 12.80/x
  3. Step 3: Cross multiply
    9.70x = 12.80 × 12.80
  4. Step 4: Simplify right side
    9.70x = 163.76
  5. Step 5: Solve for x
    x = 163.76/9.70
  6. Step 6: Final answer
    x = 16.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.