Home / 229,872-505,824

Finding the Third Proportional to 229,872 and 505,824

Calculator

Solution

The third proportional to 229,872 and 505,824 is: 1,113,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,872 : 505,824 = 505,824 : x
  2. Step 2: Convert to fraction form
    229,872/505,824 = 505,824/x
  3. Step 3: Cross multiply
    229,872x = 505,824 × 505,824
  4. Step 4: Simplify right side
    229,872x = 255,857,918,976
  5. Step 5: Solve for x
    x = 255,857,918,976/229,872
  6. Step 6: Final answer
    x = 1,113,045.17

Related Problems

Find third proportional to 114,936 and 252,912
Half scale
Find third proportional to 459,744 and 1,011,648
Double scale
Find third proportional to 229,874 and 505,828
Similar ratio
Find third proportional to 344,808 and 758,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.