Home / 828-1,405

Finding the Third Proportional to 828 and 1,405

Calculator

Solution

The third proportional to 828 and 1,405 is: 2,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 1,405 = 1,405 : x
  2. Step 2: Convert to fraction form
    828/1,405 = 1,405/x
  3. Step 3: Cross multiply
    828x = 1,405 × 1,405
  4. Step 4: Simplify right side
    828x = 1,974,025
  5. Step 5: Solve for x
    x = 1,974,025/828
  6. Step 6: Final answer
    x = 2,384.09

Related Problems

Find third proportional to 414 and 702.50
Half scale
Find third proportional to 1,656 and 2,810
Double scale
Find third proportional to 830 and 1,408
Similar ratio
Find third proportional to 1,242 and 2,107.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.