Home / 412,210-655,717

Finding the Third Proportional to 412,210 and 655,717

Calculator

Solution

The third proportional to 412,210 and 655,717 is: 1,043,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,210 : 655,717 = 655,717 : x
  2. Step 2: Convert to fraction form
    412,210/655,717 = 655,717/x
  3. Step 3: Cross multiply
    412,210x = 655,717 × 655,717
  4. Step 4: Simplify right side
    412,210x = 429,964,784,089
  5. Step 5: Solve for x
    x = 429,964,784,089/412,210
  6. Step 6: Final answer
    x = 1,043,072.18

Related Problems

Find third proportional to 206,105 and 327,858.50
Half scale
Find third proportional to 824,420 and 1,311,434
Double scale
Find third proportional to 412,212 and 655,720
Similar ratio
Find third proportional to 618,315 and 983,575.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.