Home / 3,456-8,208

Finding the Third Proportional to 3,456 and 8,208

Calculator

Solution

The third proportional to 3,456 and 8,208 is: 19,494

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 8,208 = 8,208 : x
  2. Step 2: Convert to fraction form
    3,456/8,208 = 8,208/x
  3. Step 3: Cross multiply
    3,456x = 8,208 × 8,208
  4. Step 4: Simplify right side
    3,456x = 67,371,264
  5. Step 5: Solve for x
    x = 67,371,264/3,456
  6. Step 6: Final answer
    x = 19,494

Related Problems

Find third proportional to 1,728 and 4,104
Half scale
Find third proportional to 6,912 and 16,416
Double scale
Find third proportional to 3,458 and 8,213
Similar ratio
Find third proportional to 5,184 and 12,312
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.