Home / 378,412-569,212

Finding the Third Proportional to 378,412 and 569,212

Calculator

Solution

The third proportional to 378,412 and 569,212 is: 856,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,412 : 569,212 = 569,212 : x
  2. Step 2: Convert to fraction form
    378,412/569,212 = 569,212/x
  3. Step 3: Cross multiply
    378,412x = 569,212 × 569,212
  4. Step 4: Simplify right side
    378,412x = 324,002,300,944
  5. Step 5: Solve for x
    x = 324,002,300,944/378,412
  6. Step 6: Final answer
    x = 856,215.71

Related Problems

Find third proportional to 189,206 and 284,606
Half scale
Find third proportional to 756,824 and 1,138,424
Double scale
Find third proportional to 378,414 and 569,215
Similar ratio
Find third proportional to 567,618 and 853,818
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.