Home / 9,965-15,631

Finding the Third Proportional to 9,965 and 15,631

Calculator

Solution

The third proportional to 9,965 and 15,631 is: 24,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 15,631 = 15,631 : x
  2. Step 2: Convert to fraction form
    9,965/15,631 = 15,631/x
  3. Step 3: Cross multiply
    9,965x = 15,631 × 15,631
  4. Step 4: Simplify right side
    9,965x = 244,328,161
  5. Step 5: Solve for x
    x = 244,328,161/9,965
  6. Step 6: Final answer
    x = 24,518.63

Related Problems

Find third proportional to 4,982.50 and 7,815.50
Half scale
Find third proportional to 19,930 and 31,262
Double scale
Find third proportional to 9,967 and 15,634
Similar ratio
Find third proportional to 14,947.50 and 23,446.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.