Home / 137,952-256,212

Finding the Third Proportional to 137,952 and 256,212

Calculator

Solution

The third proportional to 137,952 and 256,212 is: 475,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,952 : 256,212 = 256,212 : x
  2. Step 2: Convert to fraction form
    137,952/256,212 = 256,212/x
  3. Step 3: Cross multiply
    137,952x = 256,212 × 256,212
  4. Step 4: Simplify right side
    137,952x = 65,644,588,944
  5. Step 5: Solve for x
    x = 65,644,588,944/137,952
  6. Step 6: Final answer
    x = 475,850.94

Related Problems

Find third proportional to 68,976 and 128,106
Half scale
Find third proportional to 275,904 and 512,424
Double scale
Find third proportional to 137,954 and 256,216
Similar ratio
Find third proportional to 206,928 and 384,318
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.