Home / 106,866-229,824

Finding the Third Proportional to 106,866 and 229,824

Calculator

Solution

The third proportional to 106,866 and 229,824 is: 494,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866 : 229,824 = 229,824 : x
  2. Step 2: Convert to fraction form
    106,866/229,824 = 229,824/x
  3. Step 3: Cross multiply
    106,866x = 229,824 × 229,824
  4. Step 4: Simplify right side
    106,866x = 52,819,070,976
  5. Step 5: Solve for x
    x = 52,819,070,976/106,866
  6. Step 6: Final answer
    x = 494,255.15

Related Problems

Find third proportional to 53,433 and 114,912
Half scale
Find third proportional to 213,732 and 459,648
Double scale
Find third proportional to 106,868 and 229,828
Similar ratio
Find third proportional to 160,299 and 344,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.