Home / 9,824-18,176

Finding the Third Proportional to 9,824 and 18,176

Calculator

Solution

The third proportional to 9,824 and 18,176 is: 33,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824 : 18,176 = 18,176 : x
  2. Step 2: Convert to fraction form
    9,824/18,176 = 18,176/x
  3. Step 3: Cross multiply
    9,824x = 18,176 × 18,176
  4. Step 4: Simplify right side
    9,824x = 330,366,976
  5. Step 5: Solve for x
    x = 330,366,976/9,824
  6. Step 6: Final answer
    x = 33,628.56

Related Problems

Find third proportional to 4,912 and 9,088
Half scale
Find third proportional to 19,648 and 36,352
Double scale
Find third proportional to 9,826 and 18,180
Similar ratio
Find third proportional to 14,736 and 27,264
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.