Home / 823-1,601

Finding the Third Proportional to 823 and 1,601

Calculator

Solution

The third proportional to 823 and 1,601 is: 3,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    823 : 1,601 = 1,601 : x
  2. Step 2: Convert to fraction form
    823/1,601 = 1,601/x
  3. Step 3: Cross multiply
    823x = 1,601 × 1,601
  4. Step 4: Simplify right side
    823x = 2,563,201
  5. Step 5: Solve for x
    x = 2,563,201/823
  6. Step 6: Final answer
    x = 3,114.46

Related Problems

Find third proportional to 411.50 and 800.50
Half scale
Find third proportional to 1,646 and 3,202
Double scale
Find third proportional to 825 and 1,605
Similar ratio
Find third proportional to 1,234.50 and 2,401.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.