Home / 106,716-232,224

Finding the Third Proportional to 106,716 and 232,224

Calculator

Solution

The third proportional to 106,716 and 232,224 is: 505,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,716 : 232,224 = 232,224 : x
  2. Step 2: Convert to fraction form
    106,716/232,224 = 232,224/x
  3. Step 3: Cross multiply
    106,716x = 232,224 × 232,224
  4. Step 4: Simplify right side
    106,716x = 53,927,986,176
  5. Step 5: Solve for x
    x = 53,927,986,176/106,716
  6. Step 6: Final answer
    x = 505,341.15

Related Problems

Find third proportional to 53,358 and 116,112
Half scale
Find third proportional to 213,432 and 464,448
Double scale
Find third proportional to 106,718 and 232,228
Similar ratio
Find third proportional to 160,074 and 348,336
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.