Home / 256,198-409,282

Finding the Third Proportional to 256,198 and 409,282

Calculator

Solution

The third proportional to 256,198 and 409,282 is: 653,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,198 : 409,282 = 409,282 : x
  2. Step 2: Convert to fraction form
    256,198/409,282 = 409,282/x
  3. Step 3: Cross multiply
    256,198x = 409,282 × 409,282
  4. Step 4: Simplify right side
    256,198x = 167,511,755,524
  5. Step 5: Solve for x
    x = 167,511,755,524/256,198
  6. Step 6: Final answer
    x = 653,837.09

Related Problems

Find third proportional to 128,099 and 204,641
Half scale
Find third proportional to 512,396 and 818,564
Double scale
Find third proportional to 256,200 and 409,285
Similar ratio
Find third proportional to 384,297 and 613,923
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.