Home / 6,186-13,416

Finding the Third Proportional to 6,186 and 13,416

Calculator

Solution

The third proportional to 6,186 and 13,416 is: 29,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 13,416 = 13,416 : x
  2. Step 2: Convert to fraction form
    6,186/13,416 = 13,416/x
  3. Step 3: Cross multiply
    6,186x = 13,416 × 13,416
  4. Step 4: Simplify right side
    6,186x = 179,989,056
  5. Step 5: Solve for x
    x = 179,989,056/6,186
  6. Step 6: Final answer
    x = 29,096.19

Related Problems

Find third proportional to 3,093 and 6,708
Half scale
Find third proportional to 12,372 and 26,832
Double scale
Find third proportional to 6,188 and 13,420
Similar ratio
Find third proportional to 9,279 and 20,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.