Home / 821,406-1,203,735

Finding the Third Proportional to 821,406 and 1,203,735

Calculator

Solution

The third proportional to 821,406 and 1,203,735 is: 1,764,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,406 : 1,203,735 = 1,203,735 : x
  2. Step 2: Convert to fraction form
    821,406/1,203,735 = 1,203,735/x
  3. Step 3: Cross multiply
    821,406x = 1,203,735 × 1,203,735
  4. Step 4: Simplify right side
    821,406x = 1,448,977,950,225
  5. Step 5: Solve for x
    x = 1,448,977,950,225/821,406
  6. Step 6: Final answer
    x = 1,764,021.63

Related Problems

Find third proportional to 410,703 and 601,867.50
Half scale
Find third proportional to 1,642,812 and 2,407,470
Double scale
Find third proportional to 821,408 and 1,203,738
Similar ratio
Find third proportional to 1,232,109 and 1,805,602.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.