Home / 82,450-120,219

Finding the Third Proportional to 82,450 and 120,219

Calculator

Solution

The third proportional to 82,450 and 120,219 is: 175,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,450 : 120,219 = 120,219 : x
  2. Step 2: Convert to fraction form
    82,450/120,219 = 120,219/x
  3. Step 3: Cross multiply
    82,450x = 120,219 × 120,219
  4. Step 4: Simplify right side
    82,450x = 14,452,607,961
  5. Step 5: Solve for x
    x = 14,452,607,961/82,450
  6. Step 6: Final answer
    x = 175,289.36

Related Problems

Find third proportional to 41,225 and 60,109.50
Half scale
Find third proportional to 164,900 and 240,438
Double scale
Find third proportional to 82,452 and 120,222
Similar ratio
Find third proportional to 123,675 and 180,328.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.