Home / 8,202-12,311

Finding the Third Proportional to 8,202 and 12,311

Calculator

Solution

The third proportional to 8,202 and 12,311 is: 18,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202 : 12,311 = 12,311 : x
  2. Step 2: Convert to fraction form
    8,202/12,311 = 12,311/x
  3. Step 3: Cross multiply
    8,202x = 12,311 × 12,311
  4. Step 4: Simplify right side
    8,202x = 151,560,721
  5. Step 5: Solve for x
    x = 151,560,721/8,202
  6. Step 6: Final answer
    x = 18,478.51

Related Problems

Find third proportional to 4,101 and 6,155.50
Half scale
Find third proportional to 16,404 and 24,622
Double scale
Find third proportional to 8,204 and 12,314
Similar ratio
Find third proportional to 12,303 and 18,466.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.