Home / 164,904-232,956

Finding the Third Proportional to 164,904 and 232,956

Calculator

Solution

The third proportional to 164,904 and 232,956 is: 329,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,904 : 232,956 = 232,956 : x
  2. Step 2: Convert to fraction form
    164,904/232,956 = 232,956/x
  3. Step 3: Cross multiply
    164,904x = 232,956 × 232,956
  4. Step 4: Simplify right side
    164,904x = 54,268,497,936
  5. Step 5: Solve for x
    x = 54,268,497,936/164,904
  6. Step 6: Final answer
    x = 329,091.46

Related Problems

Find third proportional to 82,452 and 116,478
Half scale
Find third proportional to 329,808 and 465,912
Double scale
Find third proportional to 164,906 and 232,959
Similar ratio
Find third proportional to 247,356 and 349,434
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.