Home / 311,964-502,398

Finding the Third Proportional to 311,964 and 502,398

Calculator

Solution

The third proportional to 311,964 and 502,398 is: 809,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,964 : 502,398 = 502,398 : x
  2. Step 2: Convert to fraction form
    311,964/502,398 = 502,398/x
  3. Step 3: Cross multiply
    311,964x = 502,398 × 502,398
  4. Step 4: Simplify right side
    311,964x = 252,403,750,404
  5. Step 5: Solve for x
    x = 252,403,750,404/311,964
  6. Step 6: Final answer
    x = 809,079.73

Related Problems

Find third proportional to 155,982 and 251,199
Half scale
Find third proportional to 623,928 and 1,004,796
Double scale
Find third proportional to 311,966 and 502,401
Similar ratio
Find third proportional to 467,946 and 753,597
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.