Home / 851-1,419

Finding the Third Proportional to 851 and 1,419

Calculator

Solution

The third proportional to 851 and 1,419 is: 2,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    851 : 1,419 = 1,419 : x
  2. Step 2: Convert to fraction form
    851/1,419 = 1,419/x
  3. Step 3: Cross multiply
    851x = 1,419 × 1,419
  4. Step 4: Simplify right side
    851x = 2,013,561
  5. Step 5: Solve for x
    x = 2,013,561/851
  6. Step 6: Final answer
    x = 2,366.11

Related Problems

Find third proportional to 425.50 and 709.50
Half scale
Find third proportional to 1,702 and 2,838
Double scale
Find third proportional to 853 and 1,422
Similar ratio
Find third proportional to 1,276.50 and 2,128.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.