Home / 81,907-178,636

Finding the Third Proportional to 81,907 and 178,636

Calculator

Solution

The third proportional to 81,907 and 178,636 is: 389,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907 : 178,636 = 178,636 : x
  2. Step 2: Convert to fraction form
    81,907/178,636 = 178,636/x
  3. Step 3: Cross multiply
    81,907x = 178,636 × 178,636
  4. Step 4: Simplify right side
    81,907x = 31,910,820,496
  5. Step 5: Solve for x
    x = 31,910,820,496/81,907
  6. Step 6: Final answer
    x = 389,598.21

Related Problems

Find third proportional to 40,953.50 and 89,318
Half scale
Find third proportional to 163,814 and 357,272
Double scale
Find third proportional to 81,909 and 178,640
Similar ratio
Find third proportional to 122,860.50 and 267,954
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.