Home / 6,912-16,320

Finding the Third Proportional to 6,912 and 16,320

Calculator

Solution

The third proportional to 6,912 and 16,320 is: 38,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912 : 16,320 = 16,320 : x
  2. Step 2: Convert to fraction form
    6,912/16,320 = 16,320/x
  3. Step 3: Cross multiply
    6,912x = 16,320 × 16,320
  4. Step 4: Simplify right side
    6,912x = 266,342,400
  5. Step 5: Solve for x
    x = 266,342,400/6,912
  6. Step 6: Final answer
    x = 38,533.33

Related Problems

Find third proportional to 3,456 and 8,160
Half scale
Find third proportional to 13,824 and 32,640
Double scale
Find third proportional to 6,914 and 16,325
Similar ratio
Find third proportional to 10,368 and 24,480
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.