Home / 212,852-284,025

Finding the Third Proportional to 212,852 and 284,025

Calculator

Solution

The third proportional to 212,852 and 284,025 is: 378,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,852 : 284,025 = 284,025 : x
  2. Step 2: Convert to fraction form
    212,852/284,025 = 284,025/x
  3. Step 3: Cross multiply
    212,852x = 284,025 × 284,025
  4. Step 4: Simplify right side
    212,852x = 80,670,200,625
  5. Step 5: Solve for x
    x = 80,670,200,625/212,852
  6. Step 6: Final answer
    x = 378,996.68

Related Problems

Find third proportional to 106,426 and 142,012.50
Half scale
Find third proportional to 425,704 and 568,050
Double scale
Find third proportional to 212,854 and 284,028
Similar ratio
Find third proportional to 319,278 and 426,037.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.