Home / 3,772-8,408

Finding the Third Proportional to 3,772 and 8,408

Calculator

Solution

The third proportional to 3,772 and 8,408 is: 18,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772 : 8,408 = 8,408 : x
  2. Step 2: Convert to fraction form
    3,772/8,408 = 8,408/x
  3. Step 3: Cross multiply
    3,772x = 8,408 × 8,408
  4. Step 4: Simplify right side
    3,772x = 70,694,464
  5. Step 5: Solve for x
    x = 70,694,464/3,772
  6. Step 6: Final answer
    x = 18,741.90

Related Problems

Find third proportional to 1,886 and 4,204
Half scale
Find third proportional to 7,544 and 16,816
Double scale
Find third proportional to 3,774 and 8,412
Similar ratio
Find third proportional to 5,658 and 12,612
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.