Home / 211,907-320,021

Finding the Third Proportional to 211,907 and 320,021

Calculator

Solution

The third proportional to 211,907 and 320,021 is: 483,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,907 : 320,021 = 320,021 : x
  2. Step 2: Convert to fraction form
    211,907/320,021 = 320,021/x
  3. Step 3: Cross multiply
    211,907x = 320,021 × 320,021
  4. Step 4: Simplify right side
    211,907x = 102,413,440,441
  5. Step 5: Solve for x
    x = 102,413,440,441/211,907
  6. Step 6: Final answer
    x = 483,294.28

Related Problems

Find third proportional to 105,953.50 and 160,010.50
Half scale
Find third proportional to 423,814 and 640,042
Double scale
Find third proportional to 211,909 and 320,024
Similar ratio
Find third proportional to 317,860.50 and 480,031.50
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.