Home / 2,024-2,255

Finding the Third Proportional to 2,024 and 2,255

Calculator

Solution

The third proportional to 2,024 and 2,255 is: 2,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 2,255 = 2,255 : x
  2. Step 2: Convert to fraction form
    2,024/2,255 = 2,255/x
  3. Step 3: Cross multiply
    2,024x = 2,255 × 2,255
  4. Step 4: Simplify right side
    2,024x = 5,085,025
  5. Step 5: Solve for x
    x = 5,085,025/2,024
  6. Step 6: Final answer
    x = 2,512.36

Related Problems

Find third proportional to 1,012 and 1,127.50
Half scale
Find third proportional to 4,048 and 4,510
Double scale
Find third proportional to 2,026 and 2,257
Similar ratio
Find third proportional to 3,036 and 3,382.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.