Home / 256,852-409,062

Finding the Third Proportional to 256,852 and 409,062

Calculator

Solution

The third proportional to 256,852 and 409,062 is: 651,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,852 : 409,062 = 409,062 : x
  2. Step 2: Convert to fraction form
    256,852/409,062 = 409,062/x
  3. Step 3: Cross multiply
    256,852x = 409,062 × 409,062
  4. Step 4: Simplify right side
    256,852x = 167,331,719,844
  5. Step 5: Solve for x
    x = 167,331,719,844/256,852
  6. Step 6: Final answer
    x = 651,471.35

Related Problems

Find third proportional to 128,426 and 204,531
Half scale
Find third proportional to 513,704 and 818,124
Double scale
Find third proportional to 256,854 and 409,065
Similar ratio
Find third proportional to 385,278 and 613,593
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.