Home / 82,407-177,234

Finding the Third Proportional to 82,407 and 177,234

Calculator

Solution

The third proportional to 82,407 and 177,234 is: 381,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407 : 177,234 = 177,234 : x
  2. Step 2: Convert to fraction form
    82,407/177,234 = 177,234/x
  3. Step 3: Cross multiply
    82,407x = 177,234 × 177,234
  4. Step 4: Simplify right side
    82,407x = 31,411,890,756
  5. Step 5: Solve for x
    x = 31,411,890,756/82,407
  6. Step 6: Final answer
    x = 381,179.88

Related Problems

Find third proportional to 41,203.50 and 88,617
Half scale
Find third proportional to 164,814 and 354,468
Double scale
Find third proportional to 82,409 and 177,238
Similar ratio
Find third proportional to 123,610.50 and 265,851
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.