Home / 37,737-82,025

Finding the Third Proportional to 37,737 and 82,025

Calculator

Solution

The third proportional to 37,737 and 82,025 is: 178,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,737 : 82,025 = 82,025 : x
  2. Step 2: Convert to fraction form
    37,737/82,025 = 82,025/x
  3. Step 3: Cross multiply
    37,737x = 82,025 × 82,025
  4. Step 4: Simplify right side
    37,737x = 6,728,100,625
  5. Step 5: Solve for x
    x = 6,728,100,625/37,737
  6. Step 6: Final answer
    x = 178,289.23

Related Problems

Find third proportional to 18,868.50 and 41,012.50
Half scale
Find third proportional to 75,474 and 164,050
Double scale
Find third proportional to 37,739 and 82,029
Similar ratio
Find third proportional to 56,605.50 and 123,037.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.