Home / 37,812-81,405

Finding the Third Proportional to 37,812 and 81,405

Calculator

Solution

The third proportional to 37,812 and 81,405 is: 175,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812 : 81,405 = 81,405 : x
  2. Step 2: Convert to fraction form
    37,812/81,405 = 81,405/x
  3. Step 3: Cross multiply
    37,812x = 81,405 × 81,405
  4. Step 4: Simplify right side
    37,812x = 6,626,774,025
  5. Step 5: Solve for x
    x = 6,626,774,025/37,812
  6. Step 6: Final answer
    x = 175,255.85

Related Problems

Find third proportional to 18,906 and 40,702.50
Half scale
Find third proportional to 75,624 and 162,810
Double scale
Find third proportional to 37,814 and 81,409
Similar ratio
Find third proportional to 56,718 and 122,107.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.