Home / 5,202-6,834

Finding the Third Proportional to 5,202 and 6,834

Calculator

Solution

The third proportional to 5,202 and 6,834 is: 8,978

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 6,834 = 6,834 : x
  2. Step 2: Convert to fraction form
    5,202/6,834 = 6,834/x
  3. Step 3: Cross multiply
    5,202x = 6,834 × 6,834
  4. Step 4: Simplify right side
    5,202x = 46,703,556
  5. Step 5: Solve for x
    x = 46,703,556/5,202
  6. Step 6: Final answer
    x = 8,978

Related Problems

Find third proportional to 2,601 and 3,417
Half scale
Find third proportional to 10,404 and 13,668
Double scale
Find third proportional to 5,204 and 6,837
Similar ratio
Find third proportional to 7,803 and 10,251
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.