Home / 308-410

Finding the Third Proportional to 308 and 410

Calculator

Solution

The third proportional to 308 and 410 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308 : 410 = 410 : x
  2. Step 2: Convert to fraction form
    308/410 = 410/x
  3. Step 3: Cross multiply
    308x = 410 × 410
  4. Step 4: Simplify right side
    308x = 168,100
  5. Step 5: Solve for x
    x = 168,100/308
  6. Step 6: Final answer
    x = 545.78

Related Problems

Find third proportional to 154 and 205
Half scale
Find third proportional to 616 and 820
Double scale
Find third proportional to 310 and 413
Similar ratio
Find third proportional to 462 and 615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.