Home / 633-687

Finding the Third Proportional to 633 and 687

Calculator

Solution

The third proportional to 633 and 687 is: 745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 687 = 687 : x
  2. Step 2: Convert to fraction form
    633/687 = 687/x
  3. Step 3: Cross multiply
    633x = 687 × 687
  4. Step 4: Simplify right side
    633x = 471,969
  5. Step 5: Solve for x
    x = 471,969/633
  6. Step 6: Final answer
    x = 745.61

Related Problems

Find third proportional to 316.50 and 343.50
Half scale
Find third proportional to 1,266 and 1,374
Double scale
Find third proportional to 635 and 689
Similar ratio
Find third proportional to 949.50 and 1,030.50
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.