Home / 283-419

Finding the Third Proportional to 283 and 419

Calculator

Solution

The third proportional to 283 and 419 is: 620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    283/419 = 419/x
  3. Step 3: Cross multiply
    283x = 419 × 419
  4. Step 4: Simplify right side
    283x = 175,561
  5. Step 5: Solve for x
    x = 175,561/283
  6. Step 6: Final answer
    x = 620.36

Related Problems

Find third proportional to 141.50 and 209.50
Half scale
Find third proportional to 566 and 838
Double scale
Find third proportional to 285 and 422
Similar ratio
Find third proportional to 424.50 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.