Home / 6,837-12,963

Finding the Third Proportional to 6,837 and 12,963

Calculator

Solution

The third proportional to 6,837 and 12,963 is: 24,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837 : 12,963 = 12,963 : x
  2. Step 2: Convert to fraction form
    6,837/12,963 = 12,963/x
  3. Step 3: Cross multiply
    6,837x = 12,963 × 12,963
  4. Step 4: Simplify right side
    6,837x = 168,039,369
  5. Step 5: Solve for x
    x = 168,039,369/6,837
  6. Step 6: Final answer
    x = 24,577.94

Related Problems

Find third proportional to 3,418.50 and 6,481.50
Half scale
Find third proportional to 13,674 and 25,926
Double scale
Find third proportional to 6,839 and 12,967
Similar ratio
Find third proportional to 10,255.50 and 19,444.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.