Home / 638-683

Finding the Third Proportional to 638 and 683

Calculator

Solution

The third proportional to 638 and 683 is: 731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    638 : 683 = 683 : x
  2. Step 2: Convert to fraction form
    638/683 = 683/x
  3. Step 3: Cross multiply
    638x = 683 × 683
  4. Step 4: Simplify right side
    638x = 466,489
  5. Step 5: Solve for x
    x = 466,489/638
  6. Step 6: Final answer
    x = 731.17

Related Problems

Find third proportional to 319 and 341.50
Half scale
Find third proportional to 1,276 and 1,366
Double scale
Find third proportional to 640 and 685
Similar ratio
Find third proportional to 957 and 1,024.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.