Home / 75,867-109,281

Finding the Third Proportional to 75,867 and 109,281

Calculator

Solution

The third proportional to 75,867 and 109,281 is: 157,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,867 : 109,281 = 109,281 : x
  2. Step 2: Convert to fraction form
    75,867/109,281 = 109,281/x
  3. Step 3: Cross multiply
    75,867x = 109,281 × 109,281
  4. Step 4: Simplify right side
    75,867x = 11,942,336,961
  5. Step 5: Solve for x
    x = 11,942,336,961/75,867
  6. Step 6: Final answer
    x = 157,411.48

Related Problems

Find third proportional to 37,933.50 and 54,640.50
Half scale
Find third proportional to 151,734 and 218,562
Double scale
Find third proportional to 75,869 and 109,284
Similar ratio
Find third proportional to 113,800.50 and 163,921.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.