Home / 378,414-585,981

Finding the Third Proportional to 378,414 and 585,981

Calculator

Solution

The third proportional to 378,414 and 585,981 is: 907,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,414 : 585,981 = 585,981 : x
  2. Step 2: Convert to fraction form
    378,414/585,981 = 585,981/x
  3. Step 3: Cross multiply
    378,414x = 585,981 × 585,981
  4. Step 4: Simplify right side
    378,414x = 343,373,732,361
  5. Step 5: Solve for x
    x = 343,373,732,361/378,414
  6. Step 6: Final answer
    x = 907,402.30

Related Problems

Find third proportional to 189,207 and 292,990.50
Half scale
Find third proportional to 756,828 and 1,171,962
Double scale
Find third proportional to 378,416 and 585,984
Similar ratio
Find third proportional to 567,621 and 878,971.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.