Home / 7,728-9,912

Finding the Third Proportional to 7,728 and 9,912

Calculator

Solution

The third proportional to 7,728 and 9,912 is: 12,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 9,912 = 9,912 : x
  2. Step 2: Convert to fraction form
    7,728/9,912 = 9,912/x
  3. Step 3: Cross multiply
    7,728x = 9,912 × 9,912
  4. Step 4: Simplify right side
    7,728x = 98,247,744
  5. Step 5: Solve for x
    x = 98,247,744/7,728
  6. Step 6: Final answer
    x = 12,713.22

Related Problems

Find third proportional to 3,864 and 4,956
Half scale
Find third proportional to 15,456 and 19,824
Double scale
Find third proportional to 7,730 and 9,915
Similar ratio
Find third proportional to 11,592 and 14,868
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.