Home / 82,149-183,009

Finding the Third Proportional to 82,149 and 183,009

Calculator

Solution

The third proportional to 82,149 and 183,009 is: 407,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149 : 183,009 = 183,009 : x
  2. Step 2: Convert to fraction form
    82,149/183,009 = 183,009/x
  3. Step 3: Cross multiply
    82,149x = 183,009 × 183,009
  4. Step 4: Simplify right side
    82,149x = 33,492,294,081
  5. Step 5: Solve for x
    x = 33,492,294,081/82,149
  6. Step 6: Final answer
    x = 407,701.79

Related Problems

Find third proportional to 41,074.50 and 91,504.50
Half scale
Find third proportional to 164,298 and 366,018
Double scale
Find third proportional to 82,151 and 183,013
Similar ratio
Find third proportional to 123,223.50 and 274,513.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.