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Finding the Third Proportional to 0.22 and 2.13

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Solution

The third proportional to 0.22 and 2.13 is: 20.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.22 : 2.13 = 2.13 : x
  2. Step 2: Convert to fraction form
    0.22/2.13 = 2.13/x
  3. Step 3: Cross multiply
    0.22x = 2.13 × 2.13
  4. Step 4: Simplify right side
    0.22x = 4.52
  5. Step 5: Solve for x
    x = 4.52/0.22
  6. Step 6: Final answer
    x = 20.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (9.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.