Home / 205,200-315,198

Finding the Third Proportional to 205,200 and 315,198

Calculator

Solution

The third proportional to 205,200 and 315,198 is: 484,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,200 : 315,198 = 315,198 : x
  2. Step 2: Convert to fraction form
    205,200/315,198 = 315,198/x
  3. Step 3: Cross multiply
    205,200x = 315,198 × 315,198
  4. Step 4: Simplify right side
    205,200x = 99,349,779,204
  5. Step 5: Solve for x
    x = 99,349,779,204/205,200
  6. Step 6: Final answer
    x = 484,160.72

Related Problems

Find third proportional to 102,600 and 157,599
Half scale
Find third proportional to 410,400 and 630,396
Double scale
Find third proportional to 205,202 and 315,201
Similar ratio
Find third proportional to 307,800 and 472,797
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.