Home / 2,419-3,620

Finding the Third Proportional to 2,419 and 3,620

Calculator

Solution

The third proportional to 2,419 and 3,620 is: 5,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419 : 3,620 = 3,620 : x
  2. Step 2: Convert to fraction form
    2,419/3,620 = 3,620/x
  3. Step 3: Cross multiply
    2,419x = 3,620 × 3,620
  4. Step 4: Simplify right side
    2,419x = 13,104,400
  5. Step 5: Solve for x
    x = 13,104,400/2,419
  6. Step 6: Final answer
    x = 5,417.28

Related Problems

Find third proportional to 1,209.50 and 1,810
Half scale
Find third proportional to 4,838 and 7,240
Double scale
Find third proportional to 2,421 and 3,623
Similar ratio
Find third proportional to 3,628.50 and 5,430
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.