Home / 192-314

Finding the Third Proportional to 192 and 314

Calculator

Solution

The third proportional to 192 and 314 is: 513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192 : 314 = 314 : x
  2. Step 2: Convert to fraction form
    192/314 = 314/x
  3. Step 3: Cross multiply
    192x = 314 × 314
  4. Step 4: Simplify right side
    192x = 98,596
  5. Step 5: Solve for x
    x = 98,596/192
  6. Step 6: Final answer
    x = 513.52

Related Problems

Find third proportional to 96 and 157
Half scale
Find third proportional to 384 and 628
Double scale
Find third proportional to 194 and 317
Similar ratio
Find third proportional to 288 and 471
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.