Home / 1,812-3,484

Finding the Third Proportional to 1,812 and 3,484

Calculator

Solution

The third proportional to 1,812 and 3,484 is: 6,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812 : 3,484 = 3,484 : x
  2. Step 2: Convert to fraction form
    1,812/3,484 = 3,484/x
  3. Step 3: Cross multiply
    1,812x = 3,484 × 3,484
  4. Step 4: Simplify right side
    1,812x = 12,138,256
  5. Step 5: Solve for x
    x = 12,138,256/1,812
  6. Step 6: Final answer
    x = 6,698.82

Related Problems

Find third proportional to 906 and 1,742
Half scale
Find third proportional to 3,624 and 6,968
Double scale
Find third proportional to 1,814 and 3,488
Similar ratio
Find third proportional to 2,718 and 5,226
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.