Home / 6,446-13,684

Finding the Third Proportional to 6,446 and 13,684

Calculator

Solution

The third proportional to 6,446 and 13,684 is: 29,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446 : 13,684 = 13,684 : x
  2. Step 2: Convert to fraction form
    6,446/13,684 = 13,684/x
  3. Step 3: Cross multiply
    6,446x = 13,684 × 13,684
  4. Step 4: Simplify right side
    6,446x = 187,251,856
  5. Step 5: Solve for x
    x = 187,251,856/6,446
  6. Step 6: Final answer
    x = 29,049.31

Related Problems

Find third proportional to 3,223 and 6,842
Half scale
Find third proportional to 12,892 and 27,368
Double scale
Find third proportional to 6,448 and 13,688
Similar ratio
Find third proportional to 9,669 and 20,526
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.