Home / 133,614-214,902

Finding the Third Proportional to 133,614 and 214,902

Calculator

Solution

The third proportional to 133,614 and 214,902 is: 345,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614 : 214,902 = 214,902 : x
  2. Step 2: Convert to fraction form
    133,614/214,902 = 214,902/x
  3. Step 3: Cross multiply
    133,614x = 214,902 × 214,902
  4. Step 4: Simplify right side
    133,614x = 46,182,869,604
  5. Step 5: Solve for x
    x = 46,182,869,604/133,614
  6. Step 6: Final answer
    x = 345,643.94

Related Problems

Find third proportional to 66,807 and 107,451
Half scale
Find third proportional to 267,228 and 429,804
Double scale
Find third proportional to 133,616 and 214,905
Similar ratio
Find third proportional to 200,421 and 322,353
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.