Home / 9,116-16,864

Finding the Third Proportional to 9,116 and 16,864

Calculator

Solution

The third proportional to 9,116 and 16,864 is: 31,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116 : 16,864 = 16,864 : x
  2. Step 2: Convert to fraction form
    9,116/16,864 = 16,864/x
  3. Step 3: Cross multiply
    9,116x = 16,864 × 16,864
  4. Step 4: Simplify right side
    9,116x = 284,394,496
  5. Step 5: Solve for x
    x = 284,394,496/9,116
  6. Step 6: Final answer
    x = 31,197.29

Related Problems

Find third proportional to 4,558 and 8,432
Half scale
Find third proportional to 18,232 and 33,728
Double scale
Find third proportional to 9,118 and 16,868
Similar ratio
Find third proportional to 13,674 and 25,296
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.