Home / 191-346

Finding the Third Proportional to 191 and 346

Calculator

Solution

The third proportional to 191 and 346 is: 626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 346 = 346 : x
  2. Step 2: Convert to fraction form
    191/346 = 346/x
  3. Step 3: Cross multiply
    191x = 346 × 346
  4. Step 4: Simplify right side
    191x = 119,716
  5. Step 5: Solve for x
    x = 119,716/191
  6. Step 6: Final answer
    x = 626.79

Related Problems

Find third proportional to 95.50 and 173
Half scale
Find third proportional to 382 and 692
Double scale
Find third proportional to 193 and 350
Similar ratio
Find third proportional to 286.50 and 519
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.