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Finding the Third Proportional to 2.10 and 3.30

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Solution

The third proportional to 2.10 and 3.30 is: 5.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.10 : 3.30 = 3.30 : x
  2. Step 2: Convert to fraction form
    2.10/3.30 = 3.30/x
  3. Step 3: Cross multiply
    2.10x = 3.30 × 3.30
  4. Step 4: Simplify right side
    2.10x = 10.91
  5. Step 5: Solve for x
    x = 10.91/2.10
  6. Step 6: Final answer
    x = 5.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.