Home / 7,809-9,186

Finding the Third Proportional to 7,809 and 9,186

Calculator

Solution

The third proportional to 7,809 and 9,186 is: 10,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809 : 9,186 = 9,186 : x
  2. Step 2: Convert to fraction form
    7,809/9,186 = 9,186/x
  3. Step 3: Cross multiply
    7,809x = 9,186 × 9,186
  4. Step 4: Simplify right side
    7,809x = 84,382,596
  5. Step 5: Solve for x
    x = 84,382,596/7,809
  6. Step 6: Final answer
    x = 10,805.81

Related Problems

Find third proportional to 3,904.50 and 4,593
Half scale
Find third proportional to 15,618 and 18,372
Double scale
Find third proportional to 7,811 and 9,188
Similar ratio
Find third proportional to 11,713.50 and 13,779
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.