Home / 10,216-11,296

Finding the Third Proportional to 10,216 and 11,296

Calculator

Solution

The third proportional to 10,216 and 11,296 is: 12,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216 : 11,296 = 11,296 : x
  2. Step 2: Convert to fraction form
    10,216/11,296 = 11,296/x
  3. Step 3: Cross multiply
    10,216x = 11,296 × 11,296
  4. Step 4: Simplify right side
    10,216x = 127,599,616
  5. Step 5: Solve for x
    x = 127,599,616/10,216
  6. Step 6: Final answer
    x = 12,490.17

Related Problems

Find third proportional to 5,108 and 5,648
Half scale
Find third proportional to 20,432 and 22,592
Double scale
Find third proportional to 10,218 and 11,298
Similar ratio
Find third proportional to 15,324 and 16,944
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.