Home / 6,404-9,438

Finding the Third Proportional to 6,404 and 9,438

Calculator

Solution

The third proportional to 6,404 and 9,438 is: 13,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404 : 9,438 = 9,438 : x
  2. Step 2: Convert to fraction form
    6,404/9,438 = 9,438/x
  3. Step 3: Cross multiply
    6,404x = 9,438 × 9,438
  4. Step 4: Simplify right side
    6,404x = 89,075,844
  5. Step 5: Solve for x
    x = 89,075,844/6,404
  6. Step 6: Final answer
    x = 13,909.41

Related Problems

Find third proportional to 3,202 and 4,719
Half scale
Find third proportional to 12,808 and 18,876
Double scale
Find third proportional to 6,406 and 9,441
Similar ratio
Find third proportional to 9,606 and 14,157
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.