Home / 414,400-889,216

Finding the Third Proportional to 414,400 and 889,216

Calculator

Solution

The third proportional to 414,400 and 889,216 is: 1,908,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,400 : 889,216 = 889,216 : x
  2. Step 2: Convert to fraction form
    414,400/889,216 = 889,216/x
  3. Step 3: Cross multiply
    414,400x = 889,216 × 889,216
  4. Step 4: Simplify right side
    414,400x = 790,705,094,656
  5. Step 5: Solve for x
    x = 790,705,094,656/414,400
  6. Step 6: Final answer
    x = 1,908,072.14

Related Problems

Find third proportional to 207,200 and 444,608
Half scale
Find third proportional to 828,800 and 1,778,432
Double scale
Find third proportional to 414,402 and 889,220
Similar ratio
Find third proportional to 621,600 and 1,333,824
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.