Home / 7,833-16,311

Finding the Third Proportional to 7,833 and 16,311

Calculator

Solution

The third proportional to 7,833 and 16,311 is: 33,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 16,311 = 16,311 : x
  2. Step 2: Convert to fraction form
    7,833/16,311 = 16,311/x
  3. Step 3: Cross multiply
    7,833x = 16,311 × 16,311
  4. Step 4: Simplify right side
    7,833x = 266,048,721
  5. Step 5: Solve for x
    x = 266,048,721/7,833
  6. Step 6: Final answer
    x = 33,965.11

Related Problems

Find third proportional to 3,916.50 and 8,155.50
Half scale
Find third proportional to 15,666 and 32,622
Double scale
Find third proportional to 7,835 and 16,315
Similar ratio
Find third proportional to 11,749.50 and 24,466.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.