Home / 378,409-569,208

Finding the Third Proportional to 378,409 and 569,208

Calculator

Solution

The third proportional to 378,409 and 569,208 is: 856,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,409 : 569,208 = 569,208 : x
  2. Step 2: Convert to fraction form
    378,409/569,208 = 569,208/x
  3. Step 3: Cross multiply
    378,409x = 569,208 × 569,208
  4. Step 4: Simplify right side
    378,409x = 323,997,747,264
  5. Step 5: Solve for x
    x = 323,997,747,264/378,409
  6. Step 6: Final answer
    x = 856,210.47

Related Problems

Find third proportional to 189,204.50 and 284,604
Half scale
Find third proportional to 756,818 and 1,138,416
Double scale
Find third proportional to 378,411 and 569,211
Similar ratio
Find third proportional to 567,613.50 and 853,812
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.