Home / 7,831-10,977

Finding the Third Proportional to 7,831 and 10,977

Calculator

Solution

The third proportional to 7,831 and 10,977 is: 15,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831 : 10,977 = 10,977 : x
  2. Step 2: Convert to fraction form
    7,831/10,977 = 10,977/x
  3. Step 3: Cross multiply
    7,831x = 10,977 × 10,977
  4. Step 4: Simplify right side
    7,831x = 120,494,529
  5. Step 5: Solve for x
    x = 120,494,529/7,831
  6. Step 6: Final answer
    x = 15,386.86

Related Problems

Find third proportional to 3,915.50 and 5,488.50
Half scale
Find third proportional to 15,662 and 21,954
Double scale
Find third proportional to 7,833 and 10,980
Similar ratio
Find third proportional to 11,746.50 and 16,465.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.