Home / 7,824-17,676

Finding the Third Proportional to 7,824 and 17,676

Calculator

Solution

The third proportional to 7,824 and 17,676 is: 39,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 17,676 = 17,676 : x
  2. Step 2: Convert to fraction form
    7,824/17,676 = 17,676/x
  3. Step 3: Cross multiply
    7,824x = 17,676 × 17,676
  4. Step 4: Simplify right side
    7,824x = 312,440,976
  5. Step 5: Solve for x
    x = 312,440,976/7,824
  6. Step 6: Final answer
    x = 39,933.66

Related Problems

Find third proportional to 3,912 and 8,838
Half scale
Find third proportional to 15,648 and 35,352
Double scale
Find third proportional to 7,826 and 17,681
Similar ratio
Find third proportional to 11,736 and 26,514
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.