Home / 55,302-83,416

Finding the Third Proportional to 55,302 and 83,416

Calculator

Solution

The third proportional to 55,302 and 83,416 is: 125,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302 : 83,416 = 83,416 : x
  2. Step 2: Convert to fraction form
    55,302/83,416 = 83,416/x
  3. Step 3: Cross multiply
    55,302x = 83,416 × 83,416
  4. Step 4: Simplify right side
    55,302x = 6,958,229,056
  5. Step 5: Solve for x
    x = 6,958,229,056/55,302
  6. Step 6: Final answer
    x = 125,822.38

Related Problems

Find third proportional to 27,651 and 41,708
Half scale
Find third proportional to 110,604 and 166,832
Double scale
Find third proportional to 55,304 and 83,419
Similar ratio
Find third proportional to 82,953 and 125,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.