Home / 2,768-6,410

Finding the Third Proportional to 2,768 and 6,410

Calculator

Solution

The third proportional to 2,768 and 6,410 is: 14,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768 : 6,410 = 6,410 : x
  2. Step 2: Convert to fraction form
    2,768/6,410 = 6,410/x
  3. Step 3: Cross multiply
    2,768x = 6,410 × 6,410
  4. Step 4: Simplify right side
    2,768x = 41,088,100
  5. Step 5: Solve for x
    x = 41,088,100/2,768
  6. Step 6: Final answer
    x = 14,843.97

Related Problems

Find third proportional to 1,384 and 3,205
Half scale
Find third proportional to 5,536 and 12,820
Double scale
Find third proportional to 2,770 and 6,415
Similar ratio
Find third proportional to 4,152 and 9,615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.