Home / 301-410

Finding the Third Proportional to 301 and 410

Calculator

Solution

The third proportional to 301 and 410 is: 558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 410 = 410 : x
  2. Step 2: Convert to fraction form
    301/410 = 410/x
  3. Step 3: Cross multiply
    301x = 410 × 410
  4. Step 4: Simplify right side
    301x = 168,100
  5. Step 5: Solve for x
    x = 168,100/301
  6. Step 6: Final answer
    x = 558.47

Related Problems

Find third proportional to 150.50 and 205
Half scale
Find third proportional to 602 and 820
Double scale
Find third proportional to 303 and 413
Similar ratio
Find third proportional to 451.50 and 615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.