Home / 3,578-8,285

Finding the Third Proportional to 3,578 and 8,285

Calculator

Solution

The third proportional to 3,578 and 8,285 is: 19,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578 : 8,285 = 8,285 : x
  2. Step 2: Convert to fraction form
    3,578/8,285 = 8,285/x
  3. Step 3: Cross multiply
    3,578x = 8,285 × 8,285
  4. Step 4: Simplify right side
    3,578x = 68,641,225
  5. Step 5: Solve for x
    x = 68,641,225/3,578
  6. Step 6: Final answer
    x = 19,184.24

Related Problems

Find third proportional to 1,789 and 4,142.50
Half scale
Find third proportional to 7,156 and 16,570
Double scale
Find third proportional to 3,580 and 8,290
Similar ratio
Find third proportional to 5,367 and 12,427.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.