Home / 133,824-177,648

Finding the Third Proportional to 133,824 and 177,648

Calculator

Solution

The third proportional to 133,824 and 177,648 is: 235,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824 : 177,648 = 177,648 : x
  2. Step 2: Convert to fraction form
    133,824/177,648 = 177,648/x
  3. Step 3: Cross multiply
    133,824x = 177,648 × 177,648
  4. Step 4: Simplify right side
    133,824x = 31,558,811,904
  5. Step 5: Solve for x
    x = 31,558,811,904/133,824
  6. Step 6: Final answer
    x = 235,823.26

Related Problems

Find third proportional to 66,912 and 88,824
Half scale
Find third proportional to 267,648 and 355,296
Double scale
Find third proportional to 133,826 and 177,651
Similar ratio
Find third proportional to 200,736 and 266,472
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.