Home / 82,644-178,416

Finding the Third Proportional to 82,644 and 178,416

Calculator

Solution

The third proportional to 82,644 and 178,416 is: 385,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,644 : 178,416 = 178,416 : x
  2. Step 2: Convert to fraction form
    82,644/178,416 = 178,416/x
  3. Step 3: Cross multiply
    82,644x = 178,416 × 178,416
  4. Step 4: Simplify right side
    82,644x = 31,832,269,056
  5. Step 5: Solve for x
    x = 31,832,269,056/82,644
  6. Step 6: Final answer
    x = 385,173.38

Related Problems

Find third proportional to 41,322 and 89,208
Half scale
Find third proportional to 165,288 and 356,832
Double scale
Find third proportional to 82,646 and 178,420
Similar ratio
Find third proportional to 123,966 and 267,624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.