Home / 6,678-16,164

Finding the Third Proportional to 6,678 and 16,164

Calculator

Solution

The third proportional to 6,678 and 16,164 is: 39,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678 : 16,164 = 16,164 : x
  2. Step 2: Convert to fraction form
    6,678/16,164 = 16,164/x
  3. Step 3: Cross multiply
    6,678x = 16,164 × 16,164
  4. Step 4: Simplify right side
    6,678x = 261,274,896
  5. Step 5: Solve for x
    x = 261,274,896/6,678
  6. Step 6: Final answer
    x = 39,124.72

Related Problems

Find third proportional to 3,339 and 8,082
Half scale
Find third proportional to 13,356 and 32,328
Double scale
Find third proportional to 6,680 and 16,169
Similar ratio
Find third proportional to 10,017 and 24,246
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.