Home / 6,398-9,920

Finding the Third Proportional to 6,398 and 9,920

Calculator

Solution

The third proportional to 6,398 and 9,920 is: 15,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398 : 9,920 = 9,920 : x
  2. Step 2: Convert to fraction form
    6,398/9,920 = 9,920/x
  3. Step 3: Cross multiply
    6,398x = 9,920 × 9,920
  4. Step 4: Simplify right side
    6,398x = 98,406,400
  5. Step 5: Solve for x
    x = 98,406,400/6,398
  6. Step 6: Final answer
    x = 15,380.81

Related Problems

Find third proportional to 3,199 and 4,960
Half scale
Find third proportional to 12,796 and 19,840
Double scale
Find third proportional to 6,400 and 9,923
Similar ratio
Find third proportional to 9,597 and 14,880
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.