Home / 8,398-12,864

Finding the Third Proportional to 8,398 and 12,864

Calculator

Solution

The third proportional to 8,398 and 12,864 is: 19,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398 : 12,864 = 12,864 : x
  2. Step 2: Convert to fraction form
    8,398/12,864 = 12,864/x
  3. Step 3: Cross multiply
    8,398x = 12,864 × 12,864
  4. Step 4: Simplify right side
    8,398x = 165,482,496
  5. Step 5: Solve for x
    x = 165,482,496/8,398
  6. Step 6: Final answer
    x = 19,704.99

Related Problems

Find third proportional to 4,199 and 6,432
Half scale
Find third proportional to 16,796 and 25,728
Double scale
Find third proportional to 8,400 and 12,867
Similar ratio
Find third proportional to 12,597 and 19,296
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.