Home / 175-398

Finding the Third Proportional to 175 and 398

Calculator

Solution

The third proportional to 175 and 398 is: 905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175 : 398 = 398 : x
  2. Step 2: Convert to fraction form
    175/398 = 398/x
  3. Step 3: Cross multiply
    175x = 398 × 398
  4. Step 4: Simplify right side
    175x = 158,404
  5. Step 5: Solve for x
    x = 158,404/175
  6. Step 6: Final answer
    x = 905.17

Related Problems

Find third proportional to 87.50 and 199
Half scale
Find third proportional to 350 and 796
Double scale
Find third proportional to 177 and 403
Similar ratio
Find third proportional to 262.50 and 597
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.