Home / 33,599-73,966

Finding the Third Proportional to 33,599 and 73,966

Calculator

Solution

The third proportional to 33,599 and 73,966 is: 162,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,599 : 73,966 = 73,966 : x
  2. Step 2: Convert to fraction form
    33,599/73,966 = 73,966/x
  3. Step 3: Cross multiply
    33,599x = 73,966 × 73,966
  4. Step 4: Simplify right side
    33,599x = 5,470,969,156
  5. Step 5: Solve for x
    x = 5,470,969,156/33,599
  6. Step 6: Final answer
    x = 162,831.31

Related Problems

Find third proportional to 16,799.50 and 36,983
Half scale
Find third proportional to 67,198 and 147,932
Double scale
Find third proportional to 33,601 and 73,970
Similar ratio
Find third proportional to 50,398.50 and 110,949
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.