Home / 3,420-5,369

Finding the Third Proportional to 3,420 and 5,369

Calculator

Solution

The third proportional to 3,420 and 5,369 is: 8,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 5,369 = 5,369 : x
  2. Step 2: Convert to fraction form
    3,420/5,369 = 5,369/x
  3. Step 3: Cross multiply
    3,420x = 5,369 × 5,369
  4. Step 4: Simplify right side
    3,420x = 28,826,161
  5. Step 5: Solve for x
    x = 28,826,161/3,420
  6. Step 6: Final answer
    x = 8,428.70

Related Problems

Find third proportional to 1,710 and 2,684.50
Half scale
Find third proportional to 6,840 and 10,738
Double scale
Find third proportional to 3,422 and 5,372
Similar ratio
Find third proportional to 5,130 and 8,053.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.