Home / 50,514-106,786

Finding the Third Proportional to 50,514 and 106,786

Calculator

Solution

The third proportional to 50,514 and 106,786 is: 225,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,514 : 106,786 = 106,786 : x
  2. Step 2: Convert to fraction form
    50,514/106,786 = 106,786/x
  3. Step 3: Cross multiply
    50,514x = 106,786 × 106,786
  4. Step 4: Simplify right side
    50,514x = 11,403,249,796
  5. Step 5: Solve for x
    x = 11,403,249,796/50,514
  6. Step 6: Final answer
    x = 225,744.34

Related Problems

Find third proportional to 25,257 and 53,393
Half scale
Find third proportional to 101,028 and 213,572
Double scale
Find third proportional to 50,516 and 106,790
Similar ratio
Find third proportional to 75,771 and 160,179
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.