Home / 311.50-410

Finding the Third Proportional to 311.50 and 410

Calculator

Solution

The third proportional to 311.50 and 410 is: 539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.50 : 410 = 410 : x
  2. Step 2: Convert to fraction form
    311.50/410 = 410/x
  3. Step 3: Cross multiply
    311.50x = 410 × 410
  4. Step 4: Simplify right side
    311.50x = 168,100
  5. Step 5: Solve for x
    x = 168,100/311.50
  6. Step 6: Final answer
    x = 539.65

Related Problems

Find third proportional to 155.75 and 205
Half scale
Find third proportional to 623 and 820
Double scale
Find third proportional to 314 and 413
Similar ratio
Find third proportional to 467.25 and 615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.