Home / 7,686-12,234

Finding the Third Proportional to 7,686 and 12,234

Calculator

Solution

The third proportional to 7,686 and 12,234 is: 19,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686 : 12,234 = 12,234 : x
  2. Step 2: Convert to fraction form
    7,686/12,234 = 12,234/x
  3. Step 3: Cross multiply
    7,686x = 12,234 × 12,234
  4. Step 4: Simplify right side
    7,686x = 149,670,756
  5. Step 5: Solve for x
    x = 149,670,756/7,686
  6. Step 6: Final answer
    x = 19,473.17

Related Problems

Find third proportional to 3,843 and 6,117
Half scale
Find third proportional to 15,372 and 24,468
Double scale
Find third proportional to 7,688 and 12,237
Similar ratio
Find third proportional to 11,529 and 18,351
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.