Home / 209-410

Finding the Third Proportional to 209 and 410

Calculator

Solution

The third proportional to 209 and 410 is: 804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 410 = 410 : x
  2. Step 2: Convert to fraction form
    209/410 = 410/x
  3. Step 3: Cross multiply
    209x = 410 × 410
  4. Step 4: Simplify right side
    209x = 168,100
  5. Step 5: Solve for x
    x = 168,100/209
  6. Step 6: Final answer
    x = 804.31

Related Problems

Find third proportional to 104.50 and 205
Half scale
Find third proportional to 418 and 820
Double scale
Find third proportional to 211 and 414
Similar ratio
Find third proportional to 313.50 and 615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.