Home / 3,378-5,206

Finding the Third Proportional to 3,378 and 5,206

Calculator

Solution

The third proportional to 3,378 and 5,206 is: 8,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378 : 5,206 = 5,206 : x
  2. Step 2: Convert to fraction form
    3,378/5,206 = 5,206/x
  3. Step 3: Cross multiply
    3,378x = 5,206 × 5,206
  4. Step 4: Simplify right side
    3,378x = 27,102,436
  5. Step 5: Solve for x
    x = 27,102,436/3,378
  6. Step 6: Final answer
    x = 8,023.22

Related Problems

Find third proportional to 1,689 and 2,603
Half scale
Find third proportional to 6,756 and 10,412
Double scale
Find third proportional to 3,380 and 5,209
Similar ratio
Find third proportional to 5,067 and 7,809
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.