Home / 6,946-16,399

Finding the Third Proportional to 6,946 and 16,399

Calculator

Solution

The third proportional to 6,946 and 16,399 is: 38,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946 : 16,399 = 16,399 : x
  2. Step 2: Convert to fraction form
    6,946/16,399 = 16,399/x
  3. Step 3: Cross multiply
    6,946x = 16,399 × 16,399
  4. Step 4: Simplify right side
    6,946x = 268,927,201
  5. Step 5: Solve for x
    x = 268,927,201/6,946
  6. Step 6: Final answer
    x = 38,716.84

Related Problems

Find third proportional to 3,473 and 8,199.50
Half scale
Find third proportional to 13,892 and 32,798
Double scale
Find third proportional to 6,948 and 16,404
Similar ratio
Find third proportional to 10,419 and 24,598.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.