Home / 106,746-232,284

Finding the Third Proportional to 106,746 and 232,284

Calculator

Solution

The third proportional to 106,746 and 232,284 is: 505,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,746 : 232,284 = 232,284 : x
  2. Step 2: Convert to fraction form
    106,746/232,284 = 232,284/x
  3. Step 3: Cross multiply
    106,746x = 232,284 × 232,284
  4. Step 4: Simplify right side
    106,746x = 53,955,856,656
  5. Step 5: Solve for x
    x = 53,955,856,656/106,746
  6. Step 6: Final answer
    x = 505,460.22

Related Problems

Find third proportional to 53,373 and 116,142
Half scale
Find third proportional to 213,492 and 464,568
Double scale
Find third proportional to 106,748 and 232,288
Similar ratio
Find third proportional to 160,119 and 348,426
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.