Home / 4,676-8,224

Finding the Third Proportional to 4,676 and 8,224

Calculator

Solution

The third proportional to 4,676 and 8,224 is: 14,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676 : 8,224 = 8,224 : x
  2. Step 2: Convert to fraction form
    4,676/8,224 = 8,224/x
  3. Step 3: Cross multiply
    4,676x = 8,224 × 8,224
  4. Step 4: Simplify right side
    4,676x = 67,634,176
  5. Step 5: Solve for x
    x = 67,634,176/4,676
  6. Step 6: Final answer
    x = 14,464.11

Related Problems

Find third proportional to 2,338 and 4,112
Half scale
Find third proportional to 9,352 and 16,448
Double scale
Find third proportional to 4,678 and 8,228
Similar ratio
Find third proportional to 7,014 and 12,336
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.