Home / 3,812-8,231.50

Finding the Third Proportional to 3,812 and 8,231.50

Calculator

Solution

The third proportional to 3,812 and 8,231.50 is: 17,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812 : 8,231.50 = 8,231.50 : x
  2. Step 2: Convert to fraction form
    3,812/8,231.50 = 8,231.50/x
  3. Step 3: Cross multiply
    3,812x = 8,231.50 × 8,231.50
  4. Step 4: Simplify right side
    3,812x = 67,757,592.25
  5. Step 5: Solve for x
    x = 67,757,592.25/3,812
  6. Step 6: Final answer
    x = 17,774.81

Related Problems

Find third proportional to 1,906 and 4,115.75
Half scale
Find third proportional to 7,624 and 16,463
Double scale
Find third proportional to 3,814 and 8,236
Similar ratio
Find third proportional to 5,718 and 12,347.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.