Home / 51,324-106,728

Finding the Third Proportional to 51,324 and 106,728

Calculator

Solution

The third proportional to 51,324 and 106,728 is: 221,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,324 : 106,728 = 106,728 : x
  2. Step 2: Convert to fraction form
    51,324/106,728 = 106,728/x
  3. Step 3: Cross multiply
    51,324x = 106,728 × 106,728
  4. Step 4: Simplify right side
    51,324x = 11,390,865,984
  5. Step 5: Solve for x
    x = 11,390,865,984/51,324
  6. Step 6: Final answer
    x = 221,940.34

Related Problems

Find third proportional to 25,662 and 53,364
Half scale
Find third proportional to 102,648 and 213,456
Double scale
Find third proportional to 51,326 and 106,732
Similar ratio
Find third proportional to 76,986 and 160,092
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.