Home / 51,326-106,684

Finding the Third Proportional to 51,326 and 106,684

Calculator

Solution

The third proportional to 51,326 and 106,684 is: 221,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,326 : 106,684 = 106,684 : x
  2. Step 2: Convert to fraction form
    51,326/106,684 = 106,684/x
  3. Step 3: Cross multiply
    51,326x = 106,684 × 106,684
  4. Step 4: Simplify right side
    51,326x = 11,381,475,856
  5. Step 5: Solve for x
    x = 11,381,475,856/51,326
  6. Step 6: Final answer
    x = 221,748.74

Related Problems

Find third proportional to 25,663 and 53,342
Half scale
Find third proportional to 102,652 and 213,368
Double scale
Find third proportional to 51,328 and 106,688
Similar ratio
Find third proportional to 76,989 and 160,026
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.