Home / 8,198-12,613

Finding the Third Proportional to 8,198 and 12,613

Calculator

Solution

The third proportional to 8,198 and 12,613 is: 19,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198 : 12,613 = 12,613 : x
  2. Step 2: Convert to fraction form
    8,198/12,613 = 12,613/x
  3. Step 3: Cross multiply
    8,198x = 12,613 × 12,613
  4. Step 4: Simplify right side
    8,198x = 159,087,769
  5. Step 5: Solve for x
    x = 159,087,769/8,198
  6. Step 6: Final answer
    x = 19,405.68

Related Problems

Find third proportional to 4,099 and 6,306.50
Half scale
Find third proportional to 16,396 and 25,226
Double scale
Find third proportional to 8,200 and 12,616
Similar ratio
Find third proportional to 12,297 and 18,919.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.