Home / 144,816-214,966

Finding the Third Proportional to 144,816 and 214,966

Calculator

Solution

The third proportional to 144,816 and 214,966 is: 319,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,816 : 214,966 = 214,966 : x
  2. Step 2: Convert to fraction form
    144,816/214,966 = 214,966/x
  3. Step 3: Cross multiply
    144,816x = 214,966 × 214,966
  4. Step 4: Simplify right side
    144,816x = 46,210,381,156
  5. Step 5: Solve for x
    x = 46,210,381,156/144,816
  6. Step 6: Final answer
    x = 319,097.21

Related Problems

Find third proportional to 72,408 and 107,483
Half scale
Find third proportional to 289,632 and 429,932
Double scale
Find third proportional to 144,818 and 214,969
Similar ratio
Find third proportional to 217,224 and 322,449
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.