Home / 5,822-8,231

Finding the Third Proportional to 5,822 and 8,231

Calculator

Solution

The third proportional to 5,822 and 8,231 is: 11,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822 : 8,231 = 8,231 : x
  2. Step 2: Convert to fraction form
    5,822/8,231 = 8,231/x
  3. Step 3: Cross multiply
    5,822x = 8,231 × 8,231
  4. Step 4: Simplify right side
    5,822x = 67,749,361
  5. Step 5: Solve for x
    x = 67,749,361/5,822
  6. Step 6: Final answer
    x = 11,636.78

Related Problems

Find third proportional to 2,911 and 4,115.50
Half scale
Find third proportional to 11,644 and 16,462
Double scale
Find third proportional to 5,824 and 8,234
Similar ratio
Find third proportional to 8,733 and 12,346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.