Home / 685.75-1,028.50

Finding the Third Proportional to 685.75 and 1,028.50

Calculator

Solution

The third proportional to 685.75 and 1,028.50 is: 1,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.75 : 1,028.50 = 1,028.50 : x
  2. Step 2: Convert to fraction form
    685.75/1,028.50 = 1,028.50/x
  3. Step 3: Cross multiply
    685.75x = 1,028.50 × 1,028.50
  4. Step 4: Simplify right side
    685.75x = 1,057,812.25
  5. Step 5: Solve for x
    x = 1,057,812.25/685.75
  6. Step 6: Final answer
    x = 1,542.56

Related Problems

Find third proportional to 342.88 and 514.25
Half scale
Find third proportional to 1,371.50 and 2,057
Double scale
Find third proportional to 688 and 1,031
Similar ratio
Find third proportional to 1,028.63 and 1,542.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.