Home / 133,198-285,289

Finding the Third Proportional to 133,198 and 285,289

Calculator

Solution

The third proportional to 133,198 and 285,289 is: 611,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,198 : 285,289 = 285,289 : x
  2. Step 2: Convert to fraction form
    133,198/285,289 = 285,289/x
  3. Step 3: Cross multiply
    133,198x = 285,289 × 285,289
  4. Step 4: Simplify right side
    133,198x = 81,389,813,521
  5. Step 5: Solve for x
    x = 81,389,813,521/133,198
  6. Step 6: Final answer
    x = 611,043.81

Related Problems

Find third proportional to 66,599 and 142,644.50
Half scale
Find third proportional to 266,396 and 570,578
Double scale
Find third proportional to 133,200 and 285,293
Similar ratio
Find third proportional to 199,797 and 427,933.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.