Home / 398,016-589,216

Finding the Third Proportional to 398,016 and 589,216

Calculator

Solution

The third proportional to 398,016 and 589,216 is: 872,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,016 : 589,216 = 589,216 : x
  2. Step 2: Convert to fraction form
    398,016/589,216 = 589,216/x
  3. Step 3: Cross multiply
    398,016x = 589,216 × 589,216
  4. Step 4: Simplify right side
    398,016x = 347,175,494,656
  5. Step 5: Solve for x
    x = 347,175,494,656/398,016
  6. Step 6: Final answer
    x = 872,265.17

Related Problems

Find third proportional to 199,008 and 294,608
Half scale
Find third proportional to 796,032 and 1,178,432
Double scale
Find third proportional to 398,018 and 589,219
Similar ratio
Find third proportional to 597,024 and 883,824
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.