Home / 214,449-464,204

Finding the Third Proportional to 214,449 and 464,204

Calculator

Solution

The third proportional to 214,449 and 464,204 is: 1,004,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,449 : 464,204 = 464,204 : x
  2. Step 2: Convert to fraction form
    214,449/464,204 = 464,204/x
  3. Step 3: Cross multiply
    214,449x = 464,204 × 464,204
  4. Step 4: Simplify right side
    214,449x = 215,485,353,616
  5. Step 5: Solve for x
    x = 215,485,353,616/214,449
  6. Step 6: Final answer
    x = 1,004,832.63

Related Problems

Find third proportional to 107,224.50 and 232,102
Half scale
Find third proportional to 428,898 and 928,408
Double scale
Find third proportional to 214,451 and 464,208
Similar ratio
Find third proportional to 321,673.50 and 696,306
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.