Home / 3,478-3,966

Finding the Third Proportional to 3,478 and 3,966

Calculator

Solution

The third proportional to 3,478 and 3,966 is: 4,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 3,966 = 3,966 : x
  2. Step 2: Convert to fraction form
    3,478/3,966 = 3,966/x
  3. Step 3: Cross multiply
    3,478x = 3,966 × 3,966
  4. Step 4: Simplify right side
    3,478x = 15,729,156
  5. Step 5: Solve for x
    x = 15,729,156/3,478
  6. Step 6: Final answer
    x = 4,522.47

Related Problems

Find third proportional to 1,739 and 1,983
Half scale
Find third proportional to 6,956 and 7,932
Double scale
Find third proportional to 3,480 and 3,968
Similar ratio
Find third proportional to 5,217 and 5,949
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.