Home / 363-421

Finding the Third Proportional to 363 and 421

Calculator

Solution

The third proportional to 363 and 421 is: 488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363 : 421 = 421 : x
  2. Step 2: Convert to fraction form
    363/421 = 421/x
  3. Step 3: Cross multiply
    363x = 421 × 421
  4. Step 4: Simplify right side
    363x = 177,241
  5. Step 5: Solve for x
    x = 177,241/363
  6. Step 6: Final answer
    x = 488.27

Related Problems

Find third proportional to 181.50 and 210.50
Half scale
Find third proportional to 726 and 842
Double scale
Find third proportional to 365 and 423
Similar ratio
Find third proportional to 544.50 and 631.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.