Home / 5,825-8,397

Finding the Third Proportional to 5,825 and 8,397

Calculator

Solution

The third proportional to 5,825 and 8,397 is: 12,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825 : 8,397 = 8,397 : x
  2. Step 2: Convert to fraction form
    5,825/8,397 = 8,397/x
  3. Step 3: Cross multiply
    5,825x = 8,397 × 8,397
  4. Step 4: Simplify right side
    5,825x = 70,509,609
  5. Step 5: Solve for x
    x = 70,509,609/5,825
  6. Step 6: Final answer
    x = 12,104.65

Related Problems

Find third proportional to 2,912.50 and 4,198.50
Half scale
Find third proportional to 11,650 and 16,794
Double scale
Find third proportional to 5,827 and 8,400
Similar ratio
Find third proportional to 8,737.50 and 12,595.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.