Home / 331,504-509,842

Finding the Third Proportional to 331,504 and 509,842

Calculator

Solution

The third proportional to 331,504 and 509,842 is: 784,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,504 : 509,842 = 509,842 : x
  2. Step 2: Convert to fraction form
    331,504/509,842 = 509,842/x
  3. Step 3: Cross multiply
    331,504x = 509,842 × 509,842
  4. Step 4: Simplify right side
    331,504x = 259,938,864,964
  5. Step 5: Solve for x
    x = 259,938,864,964/331,504
  6. Step 6: Final answer
    x = 784,119.84

Related Problems

Find third proportional to 165,752 and 254,921
Half scale
Find third proportional to 663,008 and 1,019,684
Double scale
Find third proportional to 331,506 and 509,845
Similar ratio
Find third proportional to 497,256 and 764,763
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.