Home / 315-419

Finding the Third Proportional to 315 and 419

Calculator

Solution

The third proportional to 315 and 419 is: 557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    315/419 = 419/x
  3. Step 3: Cross multiply
    315x = 419 × 419
  4. Step 4: Simplify right side
    315x = 175,561
  5. Step 5: Solve for x
    x = 175,561/315
  6. Step 6: Final answer
    x = 557.34

Related Problems

Find third proportional to 157.50 and 209.50
Half scale
Find third proportional to 630 and 838
Double scale
Find third proportional to 317 and 422
Similar ratio
Find third proportional to 472.50 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.