Home / 2,564-4,122

Finding the Third Proportional to 2,564 and 4,122

Calculator

Solution

The third proportional to 2,564 and 4,122 is: 6,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564 : 4,122 = 4,122 : x
  2. Step 2: Convert to fraction form
    2,564/4,122 = 4,122/x
  3. Step 3: Cross multiply
    2,564x = 4,122 × 4,122
  4. Step 4: Simplify right side
    2,564x = 16,990,884
  5. Step 5: Solve for x
    x = 16,990,884/2,564
  6. Step 6: Final answer
    x = 6,626.71

Related Problems

Find third proportional to 1,282 and 2,061
Half scale
Find third proportional to 5,128 and 8,244
Double scale
Find third proportional to 2,566 and 4,125
Similar ratio
Find third proportional to 3,846 and 6,183
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.