Home / 185,142-398,412

Finding the Third Proportional to 185,142 and 398,412

Calculator

Solution

The third proportional to 185,142 and 398,412 is: 857,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,142 : 398,412 = 398,412 : x
  2. Step 2: Convert to fraction form
    185,142/398,412 = 398,412/x
  3. Step 3: Cross multiply
    185,142x = 398,412 × 398,412
  4. Step 4: Simplify right side
    185,142x = 158,732,121,744
  5. Step 5: Solve for x
    x = 158,732,121,744/185,142
  6. Step 6: Final answer
    x = 857,353.39

Related Problems

Find third proportional to 92,571 and 199,206
Half scale
Find third proportional to 370,284 and 796,824
Double scale
Find third proportional to 185,144 and 398,416
Similar ratio
Find third proportional to 277,713 and 597,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.