Home / 82,407-177,954

Finding the Third Proportional to 82,407 and 177,954

Calculator

Solution

The third proportional to 82,407 and 177,954 is: 384,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407 : 177,954 = 177,954 : x
  2. Step 2: Convert to fraction form
    82,407/177,954 = 177,954/x
  3. Step 3: Cross multiply
    82,407x = 177,954 × 177,954
  4. Step 4: Simplify right side
    82,407x = 31,667,626,116
  5. Step 5: Solve for x
    x = 31,667,626,116/82,407
  6. Step 6: Final answer
    x = 384,283.21

Related Problems

Find third proportional to 41,203.50 and 88,977
Half scale
Find third proportional to 164,814 and 355,908
Double scale
Find third proportional to 82,409 and 177,958
Similar ratio
Find third proportional to 123,610.50 and 266,931
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.