Home / 262,768-406,403

Finding the Third Proportional to 262,768 and 406,403

Calculator

Solution

The third proportional to 262,768 and 406,403 is: 628,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,768 : 406,403 = 406,403 : x
  2. Step 2: Convert to fraction form
    262,768/406,403 = 406,403/x
  3. Step 3: Cross multiply
    262,768x = 406,403 × 406,403
  4. Step 4: Simplify right side
    262,768x = 165,163,398,409
  5. Step 5: Solve for x
    x = 165,163,398,409/262,768
  6. Step 6: Final answer
    x = 628,552.18

Related Problems

Find third proportional to 131,384 and 203,201.50
Half scale
Find third proportional to 525,536 and 812,806
Double scale
Find third proportional to 262,770 and 406,406
Similar ratio
Find third proportional to 394,152 and 609,604.50
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.