Home / 6,918-10,823

Finding the Third Proportional to 6,918 and 10,823

Calculator

Solution

The third proportional to 6,918 and 10,823 is: 16,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918 : 10,823 = 10,823 : x
  2. Step 2: Convert to fraction form
    6,918/10,823 = 10,823/x
  3. Step 3: Cross multiply
    6,918x = 10,823 × 10,823
  4. Step 4: Simplify right side
    6,918x = 117,137,329
  5. Step 5: Solve for x
    x = 117,137,329/6,918
  6. Step 6: Final answer
    x = 16,932.25

Related Problems

Find third proportional to 3,459 and 5,411.50
Half scale
Find third proportional to 13,836 and 21,646
Double scale
Find third proportional to 6,920 and 10,826
Similar ratio
Find third proportional to 10,377 and 16,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.