Home / 2,378-3,820

Finding the Third Proportional to 2,378 and 3,820

Calculator

Solution

The third proportional to 2,378 and 3,820 is: 6,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 3,820 = 3,820 : x
  2. Step 2: Convert to fraction form
    2,378/3,820 = 3,820/x
  3. Step 3: Cross multiply
    2,378x = 3,820 × 3,820
  4. Step 4: Simplify right side
    2,378x = 14,592,400
  5. Step 5: Solve for x
    x = 14,592,400/2,378
  6. Step 6: Final answer
    x = 6,136.42

Related Problems

Find third proportional to 1,189 and 1,910
Half scale
Find third proportional to 4,756 and 7,640
Double scale
Find third proportional to 2,380 and 3,823
Similar ratio
Find third proportional to 3,567 and 5,730
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.