Home / 2,022-2,585

Finding the Third Proportional to 2,022 and 2,585

Calculator

Solution

The third proportional to 2,022 and 2,585 is: 3,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 2,585 = 2,585 : x
  2. Step 2: Convert to fraction form
    2,022/2,585 = 2,585/x
  3. Step 3: Cross multiply
    2,022x = 2,585 × 2,585
  4. Step 4: Simplify right side
    2,022x = 6,682,225
  5. Step 5: Solve for x
    x = 6,682,225/2,022
  6. Step 6: Final answer
    x = 3,304.76

Related Problems

Find third proportional to 1,011 and 1,292.50
Half scale
Find third proportional to 4,044 and 5,170
Double scale
Find third proportional to 2,024 and 2,588
Similar ratio
Find third proportional to 3,033 and 3,877.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.