Home / 8,309-11,193

Finding the Third Proportional to 8,309 and 11,193

Calculator

Solution

The third proportional to 8,309 and 11,193 is: 15,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309 : 11,193 = 11,193 : x
  2. Step 2: Convert to fraction form
    8,309/11,193 = 11,193/x
  3. Step 3: Cross multiply
    8,309x = 11,193 × 11,193
  4. Step 4: Simplify right side
    8,309x = 125,283,249
  5. Step 5: Solve for x
    x = 125,283,249/8,309
  6. Step 6: Final answer
    x = 15,078.02

Related Problems

Find third proportional to 4,154.50 and 5,596.50
Half scale
Find third proportional to 16,618 and 22,386
Double scale
Find third proportional to 8,311 and 11,196
Similar ratio
Find third proportional to 12,463.50 and 16,789.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.