Home / 547.82-1,146.09

Finding the Third Proportional to 547.82 and 1,146.09

Calculator

Solution

The third proportional to 547.82 and 1,146.09 is: 2,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 1,146.09 = 1,146.09 : x
  2. Step 2: Convert to fraction form
    547.82/1,146.09 = 1,146.09/x
  3. Step 3: Cross multiply
    547.82x = 1,146.09 × 1,146.09
  4. Step 4: Simplify right side
    547.82x = 1,313,528.37
  5. Step 5: Solve for x
    x = 1,313,528.37/547.82
  6. Step 6: Final answer
    x = 2,397.75

Related Problems

Find third proportional to 273.91 and 573.05
Half scale
Find third proportional to 1,095.64 and 2,292.19
Double scale
Find third proportional to 550 and 1,150
Similar ratio
Find third proportional to 821.73 and 1,719.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.