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Finding the Third Proportional to 0.21 and 2.21

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Solution

The third proportional to 0.21 and 2.21 is: 23.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.21 : 2.21 = 2.21 : x
  2. Step 2: Convert to fraction form
    0.21/2.21 = 2.21/x
  3. Step 3: Cross multiply
    0.21x = 2.21 × 2.21
  4. Step 4: Simplify right side
    0.21x = 4.91
  5. Step 5: Solve for x
    x = 4.91/0.21
  6. Step 6: Final answer
    x = 23.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (10.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.