Home / 311,962-683,296

Finding the Third Proportional to 311,962 and 683,296

Calculator

Solution

The third proportional to 311,962 and 683,296 is: 1,496,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,962 : 683,296 = 683,296 : x
  2. Step 2: Convert to fraction form
    311,962/683,296 = 683,296/x
  3. Step 3: Cross multiply
    311,962x = 683,296 × 683,296
  4. Step 4: Simplify right side
    311,962x = 466,893,423,616
  5. Step 5: Solve for x
    x = 466,893,423,616/311,962
  6. Step 6: Final answer
    x = 1,496,635.56

Related Problems

Find third proportional to 155,981 and 341,648
Half scale
Find third proportional to 623,924 and 1,366,592
Double scale
Find third proportional to 311,964 and 683,300
Similar ratio
Find third proportional to 467,943 and 1,024,944
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.