Home / 422,420-648,412

Finding the Third Proportional to 422,420 and 648,412

Calculator

Solution

The third proportional to 422,420 and 648,412 is: 995,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,420 : 648,412 = 648,412 : x
  2. Step 2: Convert to fraction form
    422,420/648,412 = 648,412/x
  3. Step 3: Cross multiply
    422,420x = 648,412 × 648,412
  4. Step 4: Simplify right side
    422,420x = 420,438,121,744
  5. Step 5: Solve for x
    x = 420,438,121,744/422,420
  6. Step 6: Final answer
    x = 995,308.28

Related Problems

Find third proportional to 211,210 and 324,206
Half scale
Find third proportional to 844,840 and 1,296,824
Double scale
Find third proportional to 422,422 and 648,415
Similar ratio
Find third proportional to 633,630 and 972,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.