Home / 6,786-10,519

Finding the Third Proportional to 6,786 and 10,519

Calculator

Solution

The third proportional to 6,786 and 10,519 is: 16,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 10,519 = 10,519 : x
  2. Step 2: Convert to fraction form
    6,786/10,519 = 10,519/x
  3. Step 3: Cross multiply
    6,786x = 10,519 × 10,519
  4. Step 4: Simplify right side
    6,786x = 110,649,361
  5. Step 5: Solve for x
    x = 110,649,361/6,786
  6. Step 6: Final answer
    x = 16,305.54

Related Problems

Find third proportional to 3,393 and 5,259.50
Half scale
Find third proportional to 13,572 and 21,038
Double scale
Find third proportional to 6,788 and 10,522
Similar ratio
Find third proportional to 10,179 and 15,778.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.