Home / 553.94-820.19

Finding the Third Proportional to 553.94 and 820.19

Calculator

Solution

The third proportional to 553.94 and 820.19 is: 1,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.94 : 820.19 = 820.19 : x
  2. Step 2: Convert to fraction form
    553.94/820.19 = 820.19/x
  3. Step 3: Cross multiply
    553.94x = 820.19 × 820.19
  4. Step 4: Simplify right side
    553.94x = 672,707.54
  5. Step 5: Solve for x
    x = 672,707.54/553.94
  6. Step 6: Final answer
    x = 1,214.41

Related Problems

Find third proportional to 276.97 and 410.09
Half scale
Find third proportional to 1,107.88 and 1,640.38
Double scale
Find third proportional to 556 and 823
Similar ratio
Find third proportional to 830.91 and 1,230.28
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.