Home / 7,206-7,834

Finding the Third Proportional to 7,206 and 7,834

Calculator

Solution

The third proportional to 7,206 and 7,834 is: 8,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 7,834 = 7,834 : x
  2. Step 2: Convert to fraction form
    7,206/7,834 = 7,834/x
  3. Step 3: Cross multiply
    7,206x = 7,834 × 7,834
  4. Step 4: Simplify right side
    7,206x = 61,371,556
  5. Step 5: Solve for x
    x = 61,371,556/7,206
  6. Step 6: Final answer
    x = 8,516.73

Related Problems

Find third proportional to 3,603 and 3,917
Half scale
Find third proportional to 14,412 and 15,668
Double scale
Find third proportional to 7,208 and 7,836
Similar ratio
Find third proportional to 10,809 and 11,751
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.