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Finding the Third Proportional to 11.57 and 16.90

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Solution

The third proportional to 11.57 and 16.90 is: 24.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 16.90 = 16.90 : x
  2. Step 2: Convert to fraction form
    11.57/16.90 = 16.90/x
  3. Step 3: Cross multiply
    11.57x = 16.90 × 16.90
  4. Step 4: Simplify right side
    11.57x = 285.45
  5. Step 5: Solve for x
    x = 285.45/11.57
  6. Step 6: Final answer
    x = 24.67

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1.5x scale

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.