Home / 311,284-469,734

Finding the Third Proportional to 311,284 and 469,734

Calculator

Solution

The third proportional to 311,284 and 469,734 is: 708,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,284 : 469,734 = 469,734 : x
  2. Step 2: Convert to fraction form
    311,284/469,734 = 469,734/x
  3. Step 3: Cross multiply
    311,284x = 469,734 × 469,734
  4. Step 4: Simplify right side
    311,284x = 220,650,030,756
  5. Step 5: Solve for x
    x = 220,650,030,756/311,284
  6. Step 6: Final answer
    x = 708,838.33

Related Problems

Find third proportional to 155,642 and 234,867
Half scale
Find third proportional to 622,568 and 939,468
Double scale
Find third proportional to 311,286 and 469,737
Similar ratio
Find third proportional to 466,926 and 704,601
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.