Home / 4,194-6,702

Finding the Third Proportional to 4,194 and 6,702

Calculator

Solution

The third proportional to 4,194 and 6,702 is: 10,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 6,702 = 6,702 : x
  2. Step 2: Convert to fraction form
    4,194/6,702 = 6,702/x
  3. Step 3: Cross multiply
    4,194x = 6,702 × 6,702
  4. Step 4: Simplify right side
    4,194x = 44,916,804
  5. Step 5: Solve for x
    x = 44,916,804/4,194
  6. Step 6: Final answer
    x = 10,709.78

Related Problems

Find third proportional to 2,097 and 3,351
Half scale
Find third proportional to 8,388 and 13,404
Double scale
Find third proportional to 4,196 and 6,705
Similar ratio
Find third proportional to 6,291 and 10,053
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.