Home / 9,999-11,631

Finding the Third Proportional to 9,999 and 11,631

Calculator

Solution

The third proportional to 9,999 and 11,631 is: 13,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999 : 11,631 = 11,631 : x
  2. Step 2: Convert to fraction form
    9,999/11,631 = 11,631/x
  3. Step 3: Cross multiply
    9,999x = 11,631 × 11,631
  4. Step 4: Simplify right side
    9,999x = 135,280,161
  5. Step 5: Solve for x
    x = 135,280,161/9,999
  6. Step 6: Final answer
    x = 13,529.37

Related Problems

Find third proportional to 4,999.50 and 5,815.50
Half scale
Find third proportional to 19,998 and 23,262
Double scale
Find third proportional to 10,001 and 11,633
Similar ratio
Find third proportional to 14,998.50 and 17,446.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.