Home / 2,048-4,480

Finding the Third Proportional to 2,048 and 4,480

Calculator

Solution

The third proportional to 2,048 and 4,480 is: 9,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048 : 4,480 = 4,480 : x
  2. Step 2: Convert to fraction form
    2,048/4,480 = 4,480/x
  3. Step 3: Cross multiply
    2,048x = 4,480 × 4,480
  4. Step 4: Simplify right side
    2,048x = 20,070,400
  5. Step 5: Solve for x
    x = 20,070,400/2,048
  6. Step 6: Final answer
    x = 9,800

Related Problems

Find third proportional to 1,024 and 2,240
Half scale
Find third proportional to 4,096 and 8,960
Double scale
Find third proportional to 2,050 and 4,484
Similar ratio
Find third proportional to 3,072 and 6,720
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.