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Finding the Third Proportional to 2.05 and 4.35

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Solution

The third proportional to 2.05 and 4.35 is: 9.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.05 : 4.35 = 4.35 : x
  2. Step 2: Convert to fraction form
    2.05/4.35 = 4.35/x
  3. Step 3: Cross multiply
    2.05x = 4.35 × 4.35
  4. Step 4: Simplify right side
    2.05x = 18.89
  5. Step 5: Solve for x
    x = 18.89/2.05
  6. Step 6: Final answer
    x = 9.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.