Home / 75,384-102,380

Finding the Third Proportional to 75,384 and 102,380

Calculator

Solution

The third proportional to 75,384 and 102,380 is: 139,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,384 : 102,380 = 102,380 : x
  2. Step 2: Convert to fraction form
    75,384/102,380 = 102,380/x
  3. Step 3: Cross multiply
    75,384x = 102,380 × 102,380
  4. Step 4: Simplify right side
    75,384x = 10,481,664,400
  5. Step 5: Solve for x
    x = 10,481,664,400/75,384
  6. Step 6: Final answer
    x = 139,043.62

Related Problems

Find third proportional to 37,692 and 51,190
Half scale
Find third proportional to 150,768 and 204,760
Double scale
Find third proportional to 75,386 and 102,383
Similar ratio
Find third proportional to 113,076 and 153,570
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.