Home / 12,084-24,812

Finding the Third Proportional to 12,084 and 24,812

Calculator

Solution

The third proportional to 12,084 and 24,812 is: 50,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 24,812 = 24,812 : x
  2. Step 2: Convert to fraction form
    12,084/24,812 = 24,812/x
  3. Step 3: Cross multiply
    12,084x = 24,812 × 24,812
  4. Step 4: Simplify right side
    12,084x = 615,635,344
  5. Step 5: Solve for x
    x = 615,635,344/12,084
  6. Step 6: Final answer
    x = 50,946.32

Related Problems

Find third proportional to 6,042 and 12,406
Half scale
Find third proportional to 24,168 and 49,624
Double scale
Find third proportional to 12,086 and 24,816
Similar ratio
Find third proportional to 18,126 and 37,218
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.