Home / 6,836-15,866

Finding the Third Proportional to 6,836 and 15,866

Calculator

Solution

The third proportional to 6,836 and 15,866 is: 36,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836 : 15,866 = 15,866 : x
  2. Step 2: Convert to fraction form
    6,836/15,866 = 15,866/x
  3. Step 3: Cross multiply
    6,836x = 15,866 × 15,866
  4. Step 4: Simplify right side
    6,836x = 251,729,956
  5. Step 5: Solve for x
    x = 251,729,956/6,836
  6. Step 6: Final answer
    x = 36,824.16

Related Problems

Find third proportional to 3,418 and 7,933
Half scale
Find third proportional to 13,672 and 31,732
Double scale
Find third proportional to 6,838 and 15,871
Similar ratio
Find third proportional to 10,254 and 23,799
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.