Home / 311,830-470,565

Finding the Third Proportional to 311,830 and 470,565

Calculator

Solution

The third proportional to 311,830 and 470,565 is: 710,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,830 : 470,565 = 470,565 : x
  2. Step 2: Convert to fraction form
    311,830/470,565 = 470,565/x
  3. Step 3: Cross multiply
    311,830x = 470,565 × 470,565
  4. Step 4: Simplify right side
    311,830x = 221,431,419,225
  5. Step 5: Solve for x
    x = 221,431,419,225/311,830
  6. Step 6: Final answer
    x = 710,103.00

Related Problems

Find third proportional to 155,915 and 235,282.50
Half scale
Find third proportional to 623,660 and 941,130
Double scale
Find third proportional to 311,832 and 470,568
Similar ratio
Find third proportional to 467,745 and 705,847.50
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.