Home / 82,900-177,512

Finding the Third Proportional to 82,900 and 177,512

Calculator

Solution

The third proportional to 82,900 and 177,512 is: 380,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,900 : 177,512 = 177,512 : x
  2. Step 2: Convert to fraction form
    82,900/177,512 = 177,512/x
  3. Step 3: Cross multiply
    82,900x = 177,512 × 177,512
  4. Step 4: Simplify right side
    82,900x = 31,510,510,144
  5. Step 5: Solve for x
    x = 31,510,510,144/82,900
  6. Step 6: Final answer
    x = 380,102.66

Related Problems

Find third proportional to 41,450 and 88,756
Half scale
Find third proportional to 165,800 and 355,024
Double scale
Find third proportional to 82,902 and 177,516
Similar ratio
Find third proportional to 124,350 and 266,268
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.