Home / 82,194-128,421

Finding the Third Proportional to 82,194 and 128,421

Calculator

Solution

The third proportional to 82,194 and 128,421 is: 200,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194 : 128,421 = 128,421 : x
  2. Step 2: Convert to fraction form
    82,194/128,421 = 128,421/x
  3. Step 3: Cross multiply
    82,194x = 128,421 × 128,421
  4. Step 4: Simplify right side
    82,194x = 16,491,953,241
  5. Step 5: Solve for x
    x = 16,491,953,241/82,194
  6. Step 6: Final answer
    x = 200,646.68

Related Problems

Find third proportional to 41,097 and 64,210.50
Half scale
Find third proportional to 164,388 and 256,842
Double scale
Find third proportional to 82,196 and 128,424
Similar ratio
Find third proportional to 123,291 and 192,631.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.