Home / 138,166-213,357

Finding the Third Proportional to 138,166 and 213,357

Calculator

Solution

The third proportional to 138,166 and 213,357 is: 329,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,166 : 213,357 = 213,357 : x
  2. Step 2: Convert to fraction form
    138,166/213,357 = 213,357/x
  3. Step 3: Cross multiply
    138,166x = 213,357 × 213,357
  4. Step 4: Simplify right side
    138,166x = 45,521,209,449
  5. Step 5: Solve for x
    x = 45,521,209,449/138,166
  6. Step 6: Final answer
    x = 329,467.52

Related Problems

Find third proportional to 69,083 and 106,678.50
Half scale
Find third proportional to 276,332 and 426,714
Double scale
Find third proportional to 138,168 and 213,360
Similar ratio
Find third proportional to 207,249 and 320,035.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.