Home / 6,416-10,208

Finding the Third Proportional to 6,416 and 10,208

Calculator

Solution

The third proportional to 6,416 and 10,208 is: 16,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 10,208 = 10,208 : x
  2. Step 2: Convert to fraction form
    6,416/10,208 = 10,208/x
  3. Step 3: Cross multiply
    6,416x = 10,208 × 10,208
  4. Step 4: Simplify right side
    6,416x = 104,203,264
  5. Step 5: Solve for x
    x = 104,203,264/6,416
  6. Step 6: Final answer
    x = 16,241.16

Related Problems

Find third proportional to 3,208 and 5,104
Half scale
Find third proportional to 12,832 and 20,416
Double scale
Find third proportional to 6,418 and 10,211
Similar ratio
Find third proportional to 9,624 and 15,312
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.