Home / 220.50-410

Finding the Third Proportional to 220.50 and 410

Calculator

Solution

The third proportional to 220.50 and 410 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 410 = 410 : x
  2. Step 2: Convert to fraction form
    220.50/410 = 410/x
  3. Step 3: Cross multiply
    220.50x = 410 × 410
  4. Step 4: Simplify right side
    220.50x = 168,100
  5. Step 5: Solve for x
    x = 168,100/220.50
  6. Step 6: Final answer
    x = 762.36

Related Problems

Find third proportional to 110.25 and 205
Half scale
Find third proportional to 441 and 820
Double scale
Find third proportional to 223 and 414
Similar ratio
Find third proportional to 330.75 and 615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.