Home / 9,951-11,085

Finding the Third Proportional to 9,951 and 11,085

Calculator

Solution

The third proportional to 9,951 and 11,085 is: 12,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951 : 11,085 = 11,085 : x
  2. Step 2: Convert to fraction form
    9,951/11,085 = 11,085/x
  3. Step 3: Cross multiply
    9,951x = 11,085 × 11,085
  4. Step 4: Simplify right side
    9,951x = 122,877,225
  5. Step 5: Solve for x
    x = 122,877,225/9,951
  6. Step 6: Final answer
    x = 12,348.23

Related Problems

Find third proportional to 4,975.50 and 5,542.50
Half scale
Find third proportional to 19,902 and 22,170
Double scale
Find third proportional to 9,953 and 11,087
Similar ratio
Find third proportional to 14,926.50 and 16,627.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.