Home / 582-825

Finding the Third Proportional to 582 and 825

Calculator

Solution

The third proportional to 582 and 825 is: 1,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 825 = 825 : x
  2. Step 2: Convert to fraction form
    582/825 = 825/x
  3. Step 3: Cross multiply
    582x = 825 × 825
  4. Step 4: Simplify right side
    582x = 680,625
  5. Step 5: Solve for x
    x = 680,625/582
  6. Step 6: Final answer
    x = 1,169.46

Related Problems

Find third proportional to 291 and 412.50
Half scale
Find third proportional to 1,164 and 1,650
Double scale
Find third proportional to 584 and 828
Similar ratio
Find third proportional to 873 and 1,237.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.