Home / 311,856-407,811

Finding the Third Proportional to 311,856 and 407,811

Calculator

Solution

The third proportional to 311,856 and 407,811 is: 533,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,856 : 407,811 = 407,811 : x
  2. Step 2: Convert to fraction form
    311,856/407,811 = 407,811/x
  3. Step 3: Cross multiply
    311,856x = 407,811 × 407,811
  4. Step 4: Simplify right side
    311,856x = 166,309,811,721
  5. Step 5: Solve for x
    x = 166,309,811,721/311,856
  6. Step 6: Final answer
    x = 533,290.40

Related Problems

Find third proportional to 155,928 and 203,905.50
Half scale
Find third proportional to 623,712 and 815,622
Double scale
Find third proportional to 311,858 and 407,814
Similar ratio
Find third proportional to 467,784 and 611,716.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.