Home / 7,830-12,119

Finding the Third Proportional to 7,830 and 12,119

Calculator

Solution

The third proportional to 7,830 and 12,119 is: 18,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 12,119 = 12,119 : x
  2. Step 2: Convert to fraction form
    7,830/12,119 = 12,119/x
  3. Step 3: Cross multiply
    7,830x = 12,119 × 12,119
  4. Step 4: Simplify right side
    7,830x = 146,870,161
  5. Step 5: Solve for x
    x = 146,870,161/7,830
  6. Step 6: Final answer
    x = 18,757.36

Related Problems

Find third proportional to 3,915 and 6,059.50
Half scale
Find third proportional to 15,660 and 24,238
Double scale
Find third proportional to 7,832 and 12,122
Similar ratio
Find third proportional to 11,745 and 18,178.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.