Home / 203,998-286,765

Finding the Third Proportional to 203,998 and 286,765

Calculator

Solution

The third proportional to 203,998 and 286,765 is: 403,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,998 : 286,765 = 286,765 : x
  2. Step 2: Convert to fraction form
    203,998/286,765 = 286,765/x
  3. Step 3: Cross multiply
    203,998x = 286,765 × 286,765
  4. Step 4: Simplify right side
    203,998x = 82,234,165,225
  5. Step 5: Solve for x
    x = 82,234,165,225/203,998
  6. Step 6: Final answer
    x = 403,112.61

Related Problems

Find third proportional to 101,999 and 143,382.50
Half scale
Find third proportional to 407,996 and 573,530
Double scale
Find third proportional to 204,000 and 286,768
Similar ratio
Find third proportional to 305,997 and 430,147.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.