Home / 167-386

Finding the Third Proportional to 167 and 386

Calculator

Solution

The third proportional to 167 and 386 is: 892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167 : 386 = 386 : x
  2. Step 2: Convert to fraction form
    167/386 = 386/x
  3. Step 3: Cross multiply
    167x = 386 × 386
  4. Step 4: Simplify right side
    167x = 148,996
  5. Step 5: Solve for x
    x = 148,996/167
  6. Step 6: Final answer
    x = 892.19

Related Problems

Find third proportional to 83.50 and 193
Half scale
Find third proportional to 334 and 772
Double scale
Find third proportional to 169 and 391
Similar ratio
Find third proportional to 250.50 and 579
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.