Home / 550.13-820.13

Finding the Third Proportional to 550.13 and 820.13

Calculator

Solution

The third proportional to 550.13 and 820.13 is: 1,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.13 : 820.13 = 820.13 : x
  2. Step 2: Convert to fraction form
    550.13/820.13 = 820.13/x
  3. Step 3: Cross multiply
    550.13x = 820.13 × 820.13
  4. Step 4: Simplify right side
    550.13x = 672,605.02
  5. Step 5: Solve for x
    x = 672,605.02/550.13
  6. Step 6: Final answer
    x = 1,222.64

Related Problems

Find third proportional to 275.06 and 410.06
Half scale
Find third proportional to 1,100.25 and 1,640.25
Double scale
Find third proportional to 552 and 823
Similar ratio
Find third proportional to 825.19 and 1,230.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.