Home / 256,968-409,212

Finding the Third Proportional to 256,968 and 409,212

Calculator

Solution

The third proportional to 256,968 and 409,212 is: 651,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,968 : 409,212 = 409,212 : x
  2. Step 2: Convert to fraction form
    256,968/409,212 = 409,212/x
  3. Step 3: Cross multiply
    256,968x = 409,212 × 409,212
  4. Step 4: Simplify right side
    256,968x = 167,454,460,944
  5. Step 5: Solve for x
    x = 167,454,460,944/256,968
  6. Step 6: Final answer
    x = 651,654.92

Related Problems

Find third proportional to 128,484 and 204,606
Half scale
Find third proportional to 513,936 and 818,424
Double scale
Find third proportional to 256,970 and 409,215
Similar ratio
Find third proportional to 385,452 and 613,818
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.