Home / 603-697.50

Finding the Third Proportional to 603 and 697.50

Calculator

Solution

The third proportional to 603 and 697.50 is: 806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603 : 697.50 = 697.50 : x
  2. Step 2: Convert to fraction form
    603/697.50 = 697.50/x
  3. Step 3: Cross multiply
    603x = 697.50 × 697.50
  4. Step 4: Simplify right side
    603x = 486,506.25
  5. Step 5: Solve for x
    x = 486,506.25/603
  6. Step 6: Final answer
    x = 806.81

Related Problems

Find third proportional to 301.50 and 348.75
Half scale
Find third proportional to 1,206 and 1,395
Double scale
Find third proportional to 605 and 700
Similar ratio
Find third proportional to 904.50 and 1,046.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.