Home / 400-823

Finding the Third Proportional to 400 and 823

Calculator

Solution

The third proportional to 400 and 823 is: 1,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 823 = 823 : x
  2. Step 2: Convert to fraction form
    400/823 = 823/x
  3. Step 3: Cross multiply
    400x = 823 × 823
  4. Step 4: Simplify right side
    400x = 677,329
  5. Step 5: Solve for x
    x = 677,329/400
  6. Step 6: Final answer
    x = 1,693.32

Related Problems

Find third proportional to 200 and 411.50
Half scale
Find third proportional to 800 and 1,646
Double scale
Find third proportional to 402 and 827
Similar ratio
Find third proportional to 600 and 1,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.