Home / 206,407-290,666

Finding the Third Proportional to 206,407 and 290,666

Calculator

Solution

The third proportional to 206,407 and 290,666 is: 409,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,407 : 290,666 = 290,666 : x
  2. Step 2: Convert to fraction form
    206,407/290,666 = 290,666/x
  3. Step 3: Cross multiply
    206,407x = 290,666 × 290,666
  4. Step 4: Simplify right side
    206,407x = 84,486,723,556
  5. Step 5: Solve for x
    x = 84,486,723,556/206,407
  6. Step 6: Final answer
    x = 409,321.02

Related Problems

Find third proportional to 103,203.50 and 145,333
Half scale
Find third proportional to 412,814 and 581,332
Double scale
Find third proportional to 206,409 and 290,669
Similar ratio
Find third proportional to 309,610.50 and 435,999
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.