Home / 219-411.50

Finding the Third Proportional to 219 and 411.50

Calculator

Solution

The third proportional to 219 and 411.50 is: 773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 411.50 = 411.50 : x
  2. Step 2: Convert to fraction form
    219/411.50 = 411.50/x
  3. Step 3: Cross multiply
    219x = 411.50 × 411.50
  4. Step 4: Simplify right side
    219x = 169,332.25
  5. Step 5: Solve for x
    x = 169,332.25/219
  6. Step 6: Final answer
    x = 773.21

Related Problems

Find third proportional to 109.50 and 205.75
Half scale
Find third proportional to 438 and 823
Double scale
Find third proportional to 221 and 415
Similar ratio
Find third proportional to 328.50 and 617.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.