Home / 7,695-10,827

Finding the Third Proportional to 7,695 and 10,827

Calculator

Solution

The third proportional to 7,695 and 10,827 is: 15,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695 : 10,827 = 10,827 : x
  2. Step 2: Convert to fraction form
    7,695/10,827 = 10,827/x
  3. Step 3: Cross multiply
    7,695x = 10,827 × 10,827
  4. Step 4: Simplify right side
    7,695x = 117,223,929
  5. Step 5: Solve for x
    x = 117,223,929/7,695
  6. Step 6: Final answer
    x = 15,233.78

Related Problems

Find third proportional to 3,847.50 and 5,413.50
Half scale
Find third proportional to 15,390 and 21,654
Double scale
Find third proportional to 7,697 and 10,830
Similar ratio
Find third proportional to 11,542.50 and 16,240.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.