Home / 773.75-1,198.25

Finding the Third Proportional to 773.75 and 1,198.25

Calculator

Solution

The third proportional to 773.75 and 1,198.25 is: 1,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.75 : 1,198.25 = 1,198.25 : x
  2. Step 2: Convert to fraction form
    773.75/1,198.25 = 1,198.25/x
  3. Step 3: Cross multiply
    773.75x = 1,198.25 × 1,198.25
  4. Step 4: Simplify right side
    773.75x = 1,435,803.06
  5. Step 5: Solve for x
    x = 1,435,803.06/773.75
  6. Step 6: Final answer
    x = 1,855.64

Related Problems

Find third proportional to 386.88 and 599.13
Half scale
Find third proportional to 1,547.50 and 2,396.50
Double scale
Find third proportional to 776 and 1,201
Similar ratio
Find third proportional to 1,160.63 and 1,797.38
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.