Home / 4,006-8,172

Finding the Third Proportional to 4,006 and 8,172

Calculator

Solution

The third proportional to 4,006 and 8,172 is: 16,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 8,172 = 8,172 : x
  2. Step 2: Convert to fraction form
    4,006/8,172 = 8,172/x
  3. Step 3: Cross multiply
    4,006x = 8,172 × 8,172
  4. Step 4: Simplify right side
    4,006x = 66,781,584
  5. Step 5: Solve for x
    x = 66,781,584/4,006
  6. Step 6: Final answer
    x = 16,670.39

Related Problems

Find third proportional to 2,003 and 4,086
Half scale
Find third proportional to 8,012 and 16,344
Double scale
Find third proportional to 4,008 and 8,176
Similar ratio
Find third proportional to 6,009 and 12,258
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.