Home / 9,852-14,827

Finding the Third Proportional to 9,852 and 14,827

Calculator

Solution

The third proportional to 9,852 and 14,827 is: 22,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852 : 14,827 = 14,827 : x
  2. Step 2: Convert to fraction form
    9,852/14,827 = 14,827/x
  3. Step 3: Cross multiply
    9,852x = 14,827 × 14,827
  4. Step 4: Simplify right side
    9,852x = 219,839,929
  5. Step 5: Solve for x
    x = 219,839,929/9,852
  6. Step 6: Final answer
    x = 22,314.24

Related Problems

Find third proportional to 4,926 and 7,413.50
Half scale
Find third proportional to 19,704 and 29,654
Double scale
Find third proportional to 9,854 and 14,830
Similar ratio
Find third proportional to 14,778 and 22,240.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.