Home / 262,769-406,406

Finding the Third Proportional to 262,769 and 406,406

Calculator

Solution

The third proportional to 262,769 and 406,406 is: 628,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,769 : 406,406 = 406,406 : x
  2. Step 2: Convert to fraction form
    262,769/406,406 = 406,406/x
  3. Step 3: Cross multiply
    262,769x = 406,406 × 406,406
  4. Step 4: Simplify right side
    262,769x = 165,165,836,836
  5. Step 5: Solve for x
    x = 165,165,836,836/262,769
  6. Step 6: Final answer
    x = 628,559.06

Related Problems

Find third proportional to 131,384.50 and 203,203
Half scale
Find third proportional to 525,538 and 812,812
Double scale
Find third proportional to 262,771 and 406,409
Similar ratio
Find third proportional to 394,153.50 and 609,609
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.