Home / 321,857-685,294

Finding the Third Proportional to 321,857 and 685,294

Calculator

Solution

The third proportional to 321,857 and 685,294 is: 1,459,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,857 : 685,294 = 685,294 : x
  2. Step 2: Convert to fraction form
    321,857/685,294 = 685,294/x
  3. Step 3: Cross multiply
    321,857x = 685,294 × 685,294
  4. Step 4: Simplify right side
    321,857x = 469,627,866,436
  5. Step 5: Solve for x
    x = 469,627,866,436/321,857
  6. Step 6: Final answer
    x = 1,459,119.63

Related Problems

Find third proportional to 160,928.50 and 342,647
Half scale
Find third proportional to 643,714 and 1,370,588
Double scale
Find third proportional to 321,859 and 685,298
Similar ratio
Find third proportional to 482,785.50 and 1,027,941
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.