Home / 204,416-310,314

Finding the Third Proportional to 204,416 and 310,314

Calculator

Solution

The third proportional to 204,416 and 310,314 is: 471,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,416 : 310,314 = 310,314 : x
  2. Step 2: Convert to fraction form
    204,416/310,314 = 310,314/x
  3. Step 3: Cross multiply
    204,416x = 310,314 × 310,314
  4. Step 4: Simplify right side
    204,416x = 96,294,778,596
  5. Step 5: Solve for x
    x = 96,294,778,596/204,416
  6. Step 6: Final answer
    x = 471,072.61

Related Problems

Find third proportional to 102,208 and 155,157
Half scale
Find third proportional to 408,832 and 620,628
Double scale
Find third proportional to 204,418 and 310,317
Similar ratio
Find third proportional to 306,624 and 465,471
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.