Home / 6,822-16,380

Finding the Third Proportional to 6,822 and 16,380

Calculator

Solution

The third proportional to 6,822 and 16,380 is: 39,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822 : 16,380 = 16,380 : x
  2. Step 2: Convert to fraction form
    6,822/16,380 = 16,380/x
  3. Step 3: Cross multiply
    6,822x = 16,380 × 16,380
  4. Step 4: Simplify right side
    6,822x = 268,304,400
  5. Step 5: Solve for x
    x = 268,304,400/6,822
  6. Step 6: Final answer
    x = 39,329.29

Related Problems

Find third proportional to 3,411 and 8,190
Half scale
Find third proportional to 13,644 and 32,760
Double scale
Find third proportional to 6,824 and 16,385
Similar ratio
Find third proportional to 10,233 and 24,570
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.