Home / 405.84-903.09

Finding the Third Proportional to 405.84 and 903.09

Calculator

Solution

The third proportional to 405.84 and 903.09 is: 2,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 903.09 = 903.09 : x
  2. Step 2: Convert to fraction form
    405.84/903.09 = 903.09/x
  3. Step 3: Cross multiply
    405.84x = 903.09 × 903.09
  4. Step 4: Simplify right side
    405.84x = 815,578.32
  5. Step 5: Solve for x
    x = 815,578.32/405.84
  6. Step 6: Final answer
    x = 2,009.59

Related Problems

Find third proportional to 202.92 and 451.55
Half scale
Find third proportional to 811.69 and 1,806.19
Double scale
Find third proportional to 408 and 908
Similar ratio
Find third proportional to 608.77 and 1,354.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.