Home / 838-1,584

Finding the Third Proportional to 838 and 1,584

Calculator

Solution

The third proportional to 838 and 1,584 is: 2,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    838 : 1,584 = 1,584 : x
  2. Step 2: Convert to fraction form
    838/1,584 = 1,584/x
  3. Step 3: Cross multiply
    838x = 1,584 × 1,584
  4. Step 4: Simplify right side
    838x = 2,509,056
  5. Step 5: Solve for x
    x = 2,509,056/838
  6. Step 6: Final answer
    x = 2,994.10

Related Problems

Find third proportional to 419 and 792
Half scale
Find third proportional to 1,676 and 3,168
Double scale
Find third proportional to 840 and 1,588
Similar ratio
Find third proportional to 1,257 and 2,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.