Home / 591-633

Finding the Third Proportional to 591 and 633

Calculator

Solution

The third proportional to 591 and 633 is: 677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 633 = 633 : x
  2. Step 2: Convert to fraction form
    591/633 = 633/x
  3. Step 3: Cross multiply
    591x = 633 × 633
  4. Step 4: Simplify right side
    591x = 400,689
  5. Step 5: Solve for x
    x = 400,689/591
  6. Step 6: Final answer
    x = 677.98

Related Problems

Find third proportional to 295.50 and 316.50
Half scale
Find third proportional to 1,182 and 1,266
Double scale
Find third proportional to 593 and 635
Similar ratio
Find third proportional to 886.50 and 949.50
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.