Home / 205,966-302,267

Finding the Third Proportional to 205,966 and 302,267

Calculator

Solution

The third proportional to 205,966 and 302,267 is: 443,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,966 : 302,267 = 302,267 : x
  2. Step 2: Convert to fraction form
    205,966/302,267 = 302,267/x
  3. Step 3: Cross multiply
    205,966x = 302,267 × 302,267
  4. Step 4: Simplify right side
    205,966x = 91,365,339,289
  5. Step 5: Solve for x
    x = 91,365,339,289/205,966
  6. Step 6: Final answer
    x = 443,594.28

Related Problems

Find third proportional to 102,983 and 151,133.50
Half scale
Find third proportional to 411,932 and 604,534
Double scale
Find third proportional to 205,968 and 302,270
Similar ratio
Find third proportional to 308,949 and 453,400.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.