Home / 20-41

Finding the Third Proportional to 20 and 41

Calculator

Solution

The third proportional to 20 and 41 is: 84.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 41 = 41 : x
  2. Step 2: Convert to fraction form
    20/41 = 41/x
  3. Step 3: Cross multiply
    20x = 41 × 41
  4. Step 4: Simplify right side
    20x = 1,681
  5. Step 5: Solve for x
    x = 1,681/20
  6. Step 6: Final answer
    x = 84.05

Related Problems

Find third proportional to 10 and 20.50
Half scale
Find third proportional to 40 and 82
Double scale
Find third proportional to 22 and 45
Similar ratio
Find third proportional to 30 and 61.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.