Home / 311,148-469,584

Finding the Third Proportional to 311,148 and 469,584

Calculator

Solution

The third proportional to 311,148 and 469,584 is: 708,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,148 : 469,584 = 469,584 : x
  2. Step 2: Convert to fraction form
    311,148/469,584 = 469,584/x
  3. Step 3: Cross multiply
    311,148x = 469,584 × 469,584
  4. Step 4: Simplify right side
    311,148x = 220,509,133,056
  5. Step 5: Solve for x
    x = 220,509,133,056/311,148
  6. Step 6: Final answer
    x = 708,695.33

Related Problems

Find third proportional to 155,574 and 234,792
Half scale
Find third proportional to 622,296 and 939,168
Double scale
Find third proportional to 311,150 and 469,587
Similar ratio
Find third proportional to 466,722 and 704,376
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.