Home / 591-631

Finding the Third Proportional to 591 and 631

Calculator

Solution

The third proportional to 591 and 631 is: 673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 631 = 631 : x
  2. Step 2: Convert to fraction form
    591/631 = 631/x
  3. Step 3: Cross multiply
    591x = 631 × 631
  4. Step 4: Simplify right side
    591x = 398,161
  5. Step 5: Solve for x
    x = 398,161/591
  6. Step 6: Final answer
    x = 673.71

Related Problems

Find third proportional to 295.50 and 315.50
Half scale
Find third proportional to 1,182 and 1,262
Double scale
Find third proportional to 593 and 633
Similar ratio
Find third proportional to 886.50 and 946.50
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.