Home / 411,844-902,420

Finding the Third Proportional to 411,844 and 902,420

Calculator

Solution

The third proportional to 411,844 and 902,420 is: 1,977,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,844 : 902,420 = 902,420 : x
  2. Step 2: Convert to fraction form
    411,844/902,420 = 902,420/x
  3. Step 3: Cross multiply
    411,844x = 902,420 × 902,420
  4. Step 4: Simplify right side
    411,844x = 814,361,856,400
  5. Step 5: Solve for x
    x = 814,361,856,400/411,844
  6. Step 6: Final answer
    x = 1,977,355.15

Related Problems

Find third proportional to 205,922 and 451,210
Half scale
Find third proportional to 823,688 and 1,804,840
Double scale
Find third proportional to 411,846 and 902,424
Similar ratio
Find third proportional to 617,766 and 1,353,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.