Home / 75,524-102,199

Finding the Third Proportional to 75,524 and 102,199

Calculator

Solution

The third proportional to 75,524 and 102,199 is: 138,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524 : 102,199 = 102,199 : x
  2. Step 2: Convert to fraction form
    75,524/102,199 = 102,199/x
  3. Step 3: Cross multiply
    75,524x = 102,199 × 102,199
  4. Step 4: Simplify right side
    75,524x = 10,444,635,601
  5. Step 5: Solve for x
    x = 10,444,635,601/75,524
  6. Step 6: Final answer
    x = 138,295.58

Related Problems

Find third proportional to 37,762 and 51,099.50
Half scale
Find third proportional to 151,048 and 204,398
Double scale
Find third proportional to 75,526 and 102,202
Similar ratio
Find third proportional to 113,286 and 153,298.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.