Home / 177-381

Finding the Third Proportional to 177 and 381

Calculator

Solution

The third proportional to 177 and 381 is: 820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 381 = 381 : x
  2. Step 2: Convert to fraction form
    177/381 = 381/x
  3. Step 3: Cross multiply
    177x = 381 × 381
  4. Step 4: Simplify right side
    177x = 145,161
  5. Step 5: Solve for x
    x = 145,161/177
  6. Step 6: Final answer
    x = 820.12

Related Problems

Find third proportional to 88.50 and 190.50
Half scale
Find third proportional to 354 and 762
Double scale
Find third proportional to 179 and 385
Similar ratio
Find third proportional to 265.50 and 571.50
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.