Home / 163-314

Finding the Third Proportional to 163 and 314

Calculator

Solution

The third proportional to 163 and 314 is: 604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163 : 314 = 314 : x
  2. Step 2: Convert to fraction form
    163/314 = 314/x
  3. Step 3: Cross multiply
    163x = 314 × 314
  4. Step 4: Simplify right side
    163x = 98,596
  5. Step 5: Solve for x
    x = 98,596/163
  6. Step 6: Final answer
    x = 604.88

Related Problems

Find third proportional to 81.50 and 157
Half scale
Find third proportional to 326 and 628
Double scale
Find third proportional to 165 and 318
Similar ratio
Find third proportional to 244.50 and 471
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.