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Finding the Third Proportional to 22 and 33

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Solution

The third proportional to 22 and 33 is: 49.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22 : 33 = 33 : x
  2. Step 2: Convert to fraction form
    22/33 = 33/x
  3. Step 3: Cross multiply
    22x = 33 × 33
  4. Step 4: Simplify right side
    22x = 1,089
  5. Step 5: Solve for x
    x = 1,089/22
  6. Step 6: Final answer
    x = 49.50

Related Problems

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Double scale
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Similar ratio
Find third proportional to 33 and 49.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.