Home / 45,433-106,122

Finding the Third Proportional to 45,433 and 106,122

Calculator

Solution

The third proportional to 45,433 and 106,122 is: 247,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,433 : 106,122 = 106,122 : x
  2. Step 2: Convert to fraction form
    45,433/106,122 = 106,122/x
  3. Step 3: Cross multiply
    45,433x = 106,122 × 106,122
  4. Step 4: Simplify right side
    45,433x = 11,261,878,884
  5. Step 5: Solve for x
    x = 11,261,878,884/45,433
  6. Step 6: Final answer
    x = 247,878.83

Related Problems

Find third proportional to 22,716.50 and 53,061
Half scale
Find third proportional to 90,866 and 212,244
Double scale
Find third proportional to 45,435 and 106,127
Similar ratio
Find third proportional to 68,149.50 and 159,183
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.