Home / 9,965-22,117

Finding the Third Proportional to 9,965 and 22,117

Calculator

Solution

The third proportional to 9,965 and 22,117 is: 49,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 22,117 = 22,117 : x
  2. Step 2: Convert to fraction form
    9,965/22,117 = 22,117/x
  3. Step 3: Cross multiply
    9,965x = 22,117 × 22,117
  4. Step 4: Simplify right side
    9,965x = 489,161,689
  5. Step 5: Solve for x
    x = 489,161,689/9,965
  6. Step 6: Final answer
    x = 49,087.98

Related Problems

Find third proportional to 4,982.50 and 11,058.50
Half scale
Find third proportional to 19,930 and 44,234
Double scale
Find third proportional to 9,967 and 22,121
Similar ratio
Find third proportional to 14,947.50 and 33,175.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.