Home / 20,589-41,905

Finding the Third Proportional to 20,589 and 41,905

Calculator

Solution

The third proportional to 20,589 and 41,905 is: 85,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589 : 41,905 = 41,905 : x
  2. Step 2: Convert to fraction form
    20,589/41,905 = 41,905/x
  3. Step 3: Cross multiply
    20,589x = 41,905 × 41,905
  4. Step 4: Simplify right side
    20,589x = 1,756,029,025
  5. Step 5: Solve for x
    x = 1,756,029,025/20,589
  6. Step 6: Final answer
    x = 85,289.67

Related Problems

Find third proportional to 10,294.50 and 20,952.50
Half scale
Find third proportional to 41,178 and 83,810
Double scale
Find third proportional to 20,591 and 41,909
Similar ratio
Find third proportional to 30,883.50 and 62,857.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.