Home / 8,237-16,059

Finding the Third Proportional to 8,237 and 16,059

Calculator

Solution

The third proportional to 8,237 and 16,059 is: 31,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237 : 16,059 = 16,059 : x
  2. Step 2: Convert to fraction form
    8,237/16,059 = 16,059/x
  3. Step 3: Cross multiply
    8,237x = 16,059 × 16,059
  4. Step 4: Simplify right side
    8,237x = 257,891,481
  5. Step 5: Solve for x
    x = 257,891,481/8,237
  6. Step 6: Final answer
    x = 31,308.91

Related Problems

Find third proportional to 4,118.50 and 8,029.50
Half scale
Find third proportional to 16,474 and 32,118
Double scale
Find third proportional to 8,239 and 16,063
Similar ratio
Find third proportional to 12,355.50 and 24,088.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.