Home / 414,546-906,420

Finding the Third Proportional to 414,546 and 906,420

Calculator

Solution

The third proportional to 414,546 and 906,420 is: 1,981,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,546 : 906,420 = 906,420 : x
  2. Step 2: Convert to fraction form
    414,546/906,420 = 906,420/x
  3. Step 3: Cross multiply
    414,546x = 906,420 × 906,420
  4. Step 4: Simplify right side
    414,546x = 821,597,216,400
  5. Step 5: Solve for x
    x = 821,597,216,400/414,546
  6. Step 6: Final answer
    x = 1,981,920.50

Related Problems

Find third proportional to 207,273 and 453,210
Half scale
Find third proportional to 829,092 and 1,812,840
Double scale
Find third proportional to 414,548 and 906,424
Similar ratio
Find third proportional to 621,819 and 1,359,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.