Home / 380,478-589,954

Finding the Third Proportional to 380,478 and 589,954

Calculator

Solution

The third proportional to 380,478 and 589,954 is: 914,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,478 : 589,954 = 589,954 : x
  2. Step 2: Convert to fraction form
    380,478/589,954 = 589,954/x
  3. Step 3: Cross multiply
    380,478x = 589,954 × 589,954
  4. Step 4: Simplify right side
    380,478x = 348,045,722,116
  5. Step 5: Solve for x
    x = 348,045,722,116/380,478
  6. Step 6: Final answer
    x = 914,759.12

Related Problems

Find third proportional to 190,239 and 294,977
Half scale
Find third proportional to 760,956 and 1,179,908
Double scale
Find third proportional to 380,480 and 589,957
Similar ratio
Find third proportional to 570,717 and 884,931
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.