Home / 300,970.69-412,705.13

Finding the Third Proportional to 300,970.69 and 412,705.13

Calculator

Solution

The third proportional to 300,970.69 and 412,705.13 is: 565,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,970.69 : 412,705.13 = 412,705.13 : x
  2. Step 2: Convert to fraction form
    300,970.69/412,705.13 = 412,705.13/x
  3. Step 3: Cross multiply
    300,970.69x = 412,705.13 × 412,705.13
  4. Step 4: Simplify right side
    300,970.69x = 170,325,520,201.27
  5. Step 5: Solve for x
    x = 170,325,520,201.27/300,970.69
  6. Step 6: Final answer
    x = 565,920.63

Related Problems

Find third proportional to 150,485.34 and 206,352.56
Half scale
Find third proportional to 601,941.38 and 825,410.25
Double scale
Find third proportional to 300,973 and 412,708
Similar ratio
Find third proportional to 451,456.03 and 619,057.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.