Home / 9,965-20,234

Finding the Third Proportional to 9,965 and 20,234

Calculator

Solution

The third proportional to 9,965 and 20,234 is: 41,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 20,234 = 20,234 : x
  2. Step 2: Convert to fraction form
    9,965/20,234 = 20,234/x
  3. Step 3: Cross multiply
    9,965x = 20,234 × 20,234
  4. Step 4: Simplify right side
    9,965x = 409,414,756
  5. Step 5: Solve for x
    x = 409,414,756/9,965
  6. Step 6: Final answer
    x = 41,085.27

Related Problems

Find third proportional to 4,982.50 and 10,117
Half scale
Find third proportional to 19,930 and 40,468
Double scale
Find third proportional to 9,967 and 20,238
Similar ratio
Find third proportional to 14,947.50 and 30,351
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.