Home / 6,404-9,726

Finding the Third Proportional to 6,404 and 9,726

Calculator

Solution

The third proportional to 6,404 and 9,726 is: 14,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404 : 9,726 = 9,726 : x
  2. Step 2: Convert to fraction form
    6,404/9,726 = 9,726/x
  3. Step 3: Cross multiply
    6,404x = 9,726 × 9,726
  4. Step 4: Simplify right side
    6,404x = 94,595,076
  5. Step 5: Solve for x
    x = 94,595,076/6,404
  6. Step 6: Final answer
    x = 14,771.25

Related Problems

Find third proportional to 3,202 and 4,863
Half scale
Find third proportional to 12,808 and 19,452
Double scale
Find third proportional to 6,406 and 9,729
Similar ratio
Find third proportional to 9,606 and 14,589
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.