Home / 8,212-12,264

Finding the Third Proportional to 8,212 and 12,264

Calculator

Solution

The third proportional to 8,212 and 12,264 is: 18,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 12,264 = 12,264 : x
  2. Step 2: Convert to fraction form
    8,212/12,264 = 12,264/x
  3. Step 3: Cross multiply
    8,212x = 12,264 × 12,264
  4. Step 4: Simplify right side
    8,212x = 150,405,696
  5. Step 5: Solve for x
    x = 150,405,696/8,212
  6. Step 6: Final answer
    x = 18,315.36

Related Problems

Find third proportional to 4,106 and 6,132
Half scale
Find third proportional to 16,424 and 24,528
Double scale
Find third proportional to 8,214 and 12,267
Similar ratio
Find third proportional to 12,318 and 18,396
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.