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Finding the Third Proportional to 1.69 and 2.11

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Solution

The third proportional to 1.69 and 2.11 is: 2.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.69 : 2.11 = 2.11 : x
  2. Step 2: Convert to fraction form
    1.69/2.11 = 2.11/x
  3. Step 3: Cross multiply
    1.69x = 2.11 × 2.11
  4. Step 4: Simplify right side
    1.69x = 4.45
  5. Step 5: Solve for x
    x = 4.45/1.69
  6. Step 6: Final answer
    x = 2.64

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.