Home / 8,284-13,946

Finding the Third Proportional to 8,284 and 13,946

Calculator

Solution

The third proportional to 8,284 and 13,946 is: 23,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 13,946 = 13,946 : x
  2. Step 2: Convert to fraction form
    8,284/13,946 = 13,946/x
  3. Step 3: Cross multiply
    8,284x = 13,946 × 13,946
  4. Step 4: Simplify right side
    8,284x = 194,490,916
  5. Step 5: Solve for x
    x = 194,490,916/8,284
  6. Step 6: Final answer
    x = 23,477.90

Related Problems

Find third proportional to 4,142 and 6,973
Half scale
Find third proportional to 16,568 and 27,892
Double scale
Find third proportional to 8,286 and 13,949
Similar ratio
Find third proportional to 12,426 and 20,919
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.