Home / 6,813-10,259

Finding the Third Proportional to 6,813 and 10,259

Calculator

Solution

The third proportional to 6,813 and 10,259 is: 15,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 10,259 = 10,259 : x
  2. Step 2: Convert to fraction form
    6,813/10,259 = 10,259/x
  3. Step 3: Cross multiply
    6,813x = 10,259 × 10,259
  4. Step 4: Simplify right side
    6,813x = 105,247,081
  5. Step 5: Solve for x
    x = 105,247,081/6,813
  6. Step 6: Final answer
    x = 15,447.98

Related Problems

Find third proportional to 3,406.50 and 5,129.50
Half scale
Find third proportional to 13,626 and 20,518
Double scale
Find third proportional to 6,815 and 10,262
Similar ratio
Find third proportional to 10,219.50 and 15,388.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.