Home / 7,784-12,231

Finding the Third Proportional to 7,784 and 12,231

Calculator

Solution

The third proportional to 7,784 and 12,231 is: 19,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784 : 12,231 = 12,231 : x
  2. Step 2: Convert to fraction form
    7,784/12,231 = 12,231/x
  3. Step 3: Cross multiply
    7,784x = 12,231 × 12,231
  4. Step 4: Simplify right side
    7,784x = 149,597,361
  5. Step 5: Solve for x
    x = 149,597,361/7,784
  6. Step 6: Final answer
    x = 19,218.57

Related Problems

Find third proportional to 3,892 and 6,115.50
Half scale
Find third proportional to 15,568 and 24,462
Double scale
Find third proportional to 7,786 and 12,234
Similar ratio
Find third proportional to 11,676 and 18,346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.