Home / 6,198-8,523

Finding the Third Proportional to 6,198 and 8,523

Calculator

Solution

The third proportional to 6,198 and 8,523 is: 11,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198 : 8,523 = 8,523 : x
  2. Step 2: Convert to fraction form
    6,198/8,523 = 8,523/x
  3. Step 3: Cross multiply
    6,198x = 8,523 × 8,523
  4. Step 4: Simplify right side
    6,198x = 72,641,529
  5. Step 5: Solve for x
    x = 72,641,529/6,198
  6. Step 6: Final answer
    x = 11,720.16

Related Problems

Find third proportional to 3,099 and 4,261.50
Half scale
Find third proportional to 12,396 and 17,046
Double scale
Find third proportional to 6,200 and 8,526
Similar ratio
Find third proportional to 9,297 and 12,784.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.