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Finding the Third Proportional to 11.73 and 13.12

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Solution

The third proportional to 11.73 and 13.12 is: 14.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.73 : 13.12 = 13.12 : x
  2. Step 2: Convert to fraction form
    11.73/13.12 = 13.12/x
  3. Step 3: Cross multiply
    11.73x = 13.12 × 13.12
  4. Step 4: Simplify right side
    11.73x = 172.01
  5. Step 5: Solve for x
    x = 172.01/11.73
  6. Step 6: Final answer
    x = 14.67

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1.5x scale

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.