Home / 410-443

Finding the Third Proportional to 410 and 443

Calculator

Solution

The third proportional to 410 and 443 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 443 = 443 : x
  2. Step 2: Convert to fraction form
    410/443 = 443/x
  3. Step 3: Cross multiply
    410x = 443 × 443
  4. Step 4: Simplify right side
    410x = 196,249
  5. Step 5: Solve for x
    x = 196,249/410
  6. Step 6: Final answer
    x = 478.66

Related Problems

Find third proportional to 205 and 221.50
Half scale
Find third proportional to 820 and 886
Double scale
Find third proportional to 412 and 445
Similar ratio
Find third proportional to 615 and 664.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.