Home / 8,312-11,856

Finding the Third Proportional to 8,312 and 11,856

Calculator

Solution

The third proportional to 8,312 and 11,856 is: 16,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 11,856 = 11,856 : x
  2. Step 2: Convert to fraction form
    8,312/11,856 = 11,856/x
  3. Step 3: Cross multiply
    8,312x = 11,856 × 11,856
  4. Step 4: Simplify right side
    8,312x = 140,564,736
  5. Step 5: Solve for x
    x = 140,564,736/8,312
  6. Step 6: Final answer
    x = 16,911.06

Related Problems

Find third proportional to 4,156 and 5,928
Half scale
Find third proportional to 16,624 and 23,712
Double scale
Find third proportional to 8,314 and 11,859
Similar ratio
Find third proportional to 12,468 and 17,784
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.