Home / 51,214-104,960

Finding the Third Proportional to 51,214 and 104,960

Calculator

Solution

The third proportional to 51,214 and 104,960 is: 215,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,214 : 104,960 = 104,960 : x
  2. Step 2: Convert to fraction form
    51,214/104,960 = 104,960/x
  3. Step 3: Cross multiply
    51,214x = 104,960 × 104,960
  4. Step 4: Simplify right side
    51,214x = 11,016,601,600
  5. Step 5: Solve for x
    x = 11,016,601,600/51,214
  6. Step 6: Final answer
    x = 215,109.18

Related Problems

Find third proportional to 25,607 and 52,480
Half scale
Find third proportional to 102,428 and 209,920
Double scale
Find third proportional to 51,216 and 104,964
Similar ratio
Find third proportional to 76,821 and 157,440
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.