Home / 51,138-106,404

Finding the Third Proportional to 51,138 and 106,404

Calculator

Solution

The third proportional to 51,138 and 106,404 is: 221,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138 : 106,404 = 106,404 : x
  2. Step 2: Convert to fraction form
    51,138/106,404 = 106,404/x
  3. Step 3: Cross multiply
    51,138x = 106,404 × 106,404
  4. Step 4: Simplify right side
    51,138x = 11,321,811,216
  5. Step 5: Solve for x
    x = 11,321,811,216/51,138
  6. Step 6: Final answer
    x = 221,397.22

Related Problems

Find third proportional to 25,569 and 53,202
Half scale
Find third proportional to 102,276 and 212,808
Double scale
Find third proportional to 51,140 and 106,408
Similar ratio
Find third proportional to 76,707 and 159,606
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.