Home / 311,998-502,451

Finding the Third Proportional to 311,998 and 502,451

Calculator

Solution

The third proportional to 311,998 and 502,451 is: 809,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,998 : 502,451 = 502,451 : x
  2. Step 2: Convert to fraction form
    311,998/502,451 = 502,451/x
  3. Step 3: Cross multiply
    311,998x = 502,451 × 502,451
  4. Step 4: Simplify right side
    311,998x = 252,457,007,401
  5. Step 5: Solve for x
    x = 252,457,007,401/311,998
  6. Step 6: Final answer
    x = 809,162.26

Related Problems

Find third proportional to 155,999 and 251,225.50
Half scale
Find third proportional to 623,996 and 1,004,902
Double scale
Find third proportional to 312,000 and 502,454
Similar ratio
Find third proportional to 467,997 and 753,676.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.