Home / 120,720-177,378

Finding the Third Proportional to 120,720 and 177,378

Calculator

Solution

The third proportional to 120,720 and 177,378 is: 260,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,720 : 177,378 = 177,378 : x
  2. Step 2: Convert to fraction form
    120,720/177,378 = 177,378/x
  3. Step 3: Cross multiply
    120,720x = 177,378 × 177,378
  4. Step 4: Simplify right side
    120,720x = 31,462,954,884
  5. Step 5: Solve for x
    x = 31,462,954,884/120,720
  6. Step 6: Final answer
    x = 260,627.53

Related Problems

Find third proportional to 60,360 and 88,689
Half scale
Find third proportional to 241,440 and 354,756
Double scale
Find third proportional to 120,722 and 177,381
Similar ratio
Find third proportional to 181,080 and 266,067
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.