Home / 200,005-422,489

Finding the Third Proportional to 200,005 and 422,489

Calculator

Solution

The third proportional to 200,005 and 422,489 is: 892,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,005 : 422,489 = 422,489 : x
  2. Step 2: Convert to fraction form
    200,005/422,489 = 422,489/x
  3. Step 3: Cross multiply
    200,005x = 422,489 × 422,489
  4. Step 4: Simplify right side
    200,005x = 178,496,955,121
  5. Step 5: Solve for x
    x = 178,496,955,121/200,005
  6. Step 6: Final answer
    x = 892,462.46

Related Problems

Find third proportional to 100,002.50 and 211,244.50
Half scale
Find third proportional to 400,010 and 844,978
Double scale
Find third proportional to 200,007 and 422,493
Similar ratio
Find third proportional to 300,007.50 and 633,733.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.