Home / 9,924-14,106

Finding the Third Proportional to 9,924 and 14,106

Calculator

Solution

The third proportional to 9,924 and 14,106 is: 20,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 14,106 = 14,106 : x
  2. Step 2: Convert to fraction form
    9,924/14,106 = 14,106/x
  3. Step 3: Cross multiply
    9,924x = 14,106 × 14,106
  4. Step 4: Simplify right side
    9,924x = 198,979,236
  5. Step 5: Solve for x
    x = 198,979,236/9,924
  6. Step 6: Final answer
    x = 20,050.31

Related Problems

Find third proportional to 4,962 and 7,053
Half scale
Find third proportional to 19,848 and 28,212
Double scale
Find third proportional to 9,926 and 14,109
Similar ratio
Find third proportional to 14,886 and 21,159
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.