Home / 757.63-1,023.38

Finding the Third Proportional to 757.63 and 1,023.38

Calculator

Solution

The third proportional to 757.63 and 1,023.38 is: 1,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.63 : 1,023.38 = 1,023.38 : x
  2. Step 2: Convert to fraction form
    757.63/1,023.38 = 1,023.38/x
  3. Step 3: Cross multiply
    757.63x = 1,023.38 × 1,023.38
  4. Step 4: Simplify right side
    757.63x = 1,047,296.39
  5. Step 5: Solve for x
    x = 1,047,296.39/757.63
  6. Step 6: Final answer
    x = 1,382.34

Related Problems

Find third proportional to 378.81 and 511.69
Half scale
Find third proportional to 1,515.25 and 2,046.75
Double scale
Find third proportional to 760 and 1,026
Similar ratio
Find third proportional to 1,136.44 and 1,535.06
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.