Home / 6,186-6,690

Finding the Third Proportional to 6,186 and 6,690

Calculator

Solution

The third proportional to 6,186 and 6,690 is: 7,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 6,690 = 6,690 : x
  2. Step 2: Convert to fraction form
    6,186/6,690 = 6,690/x
  3. Step 3: Cross multiply
    6,186x = 6,690 × 6,690
  4. Step 4: Simplify right side
    6,186x = 44,756,100
  5. Step 5: Solve for x
    x = 44,756,100/6,186
  6. Step 6: Final answer
    x = 7,235.06

Related Problems

Find third proportional to 3,093 and 3,345
Half scale
Find third proportional to 12,372 and 13,380
Double scale
Find third proportional to 6,188 and 6,692
Similar ratio
Find third proportional to 9,279 and 10,035
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.