Home / 33,824-74,560

Finding the Third Proportional to 33,824 and 74,560

Calculator

Solution

The third proportional to 33,824 and 74,560 is: 164,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824 : 74,560 = 74,560 : x
  2. Step 2: Convert to fraction form
    33,824/74,560 = 74,560/x
  3. Step 3: Cross multiply
    33,824x = 74,560 × 74,560
  4. Step 4: Simplify right side
    33,824x = 5,559,193,600
  5. Step 5: Solve for x
    x = 5,559,193,600/33,824
  6. Step 6: Final answer
    x = 164,356.48

Related Problems

Find third proportional to 16,912 and 37,280
Half scale
Find third proportional to 67,648 and 149,120
Double scale
Find third proportional to 33,826 and 74,564
Similar ratio
Find third proportional to 50,736 and 111,840
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.