Home / 8,192-8,928

Finding the Third Proportional to 8,192 and 8,928

Calculator

Solution

The third proportional to 8,192 and 8,928 is: 9,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 8,928 = 8,928 : x
  2. Step 2: Convert to fraction form
    8,192/8,928 = 8,928/x
  3. Step 3: Cross multiply
    8,192x = 8,928 × 8,928
  4. Step 4: Simplify right side
    8,192x = 79,709,184
  5. Step 5: Solve for x
    x = 79,709,184/8,192
  6. Step 6: Final answer
    x = 9,730.13

Related Problems

Find third proportional to 4,096 and 4,464
Half scale
Find third proportional to 16,384 and 17,856
Double scale
Find third proportional to 8,194 and 8,930
Similar ratio
Find third proportional to 12,288 and 13,392
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.