Home / 685-744

Finding the Third Proportional to 685 and 744

Calculator

Solution

The third proportional to 685 and 744 is: 808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    685 : 744 = 744 : x
  2. Step 2: Convert to fraction form
    685/744 = 744/x
  3. Step 3: Cross multiply
    685x = 744 × 744
  4. Step 4: Simplify right side
    685x = 553,536
  5. Step 5: Solve for x
    x = 553,536/685
  6. Step 6: Final answer
    x = 808.08

Related Problems

Find third proportional to 342.50 and 372
Half scale
Find third proportional to 1,370 and 1,488
Double scale
Find third proportional to 687 and 746
Similar ratio
Find third proportional to 1,027.50 and 1,116
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.