Home / 191-219

Finding the Third Proportional to 191 and 219

Calculator

Solution

The third proportional to 191 and 219 is: 251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 219 = 219 : x
  2. Step 2: Convert to fraction form
    191/219 = 219/x
  3. Step 3: Cross multiply
    191x = 219 × 219
  4. Step 4: Simplify right side
    191x = 47,961
  5. Step 5: Solve for x
    x = 47,961/191
  6. Step 6: Final answer
    x = 251.10

Related Problems

Find third proportional to 95.50 and 109.50
Half scale
Find third proportional to 382 and 438
Double scale
Find third proportional to 193 and 221
Similar ratio
Find third proportional to 286.50 and 328.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.