Home / 831-1,584

Finding the Third Proportional to 831 and 1,584

Calculator

Solution

The third proportional to 831 and 1,584 is: 3,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    831 : 1,584 = 1,584 : x
  2. Step 2: Convert to fraction form
    831/1,584 = 1,584/x
  3. Step 3: Cross multiply
    831x = 1,584 × 1,584
  4. Step 4: Simplify right side
    831x = 2,509,056
  5. Step 5: Solve for x
    x = 2,509,056/831
  6. Step 6: Final answer
    x = 3,019.32

Related Problems

Find third proportional to 415.50 and 792
Half scale
Find third proportional to 1,662 and 3,168
Double scale
Find third proportional to 833 and 1,588
Similar ratio
Find third proportional to 1,246.50 and 2,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.