Home / 10,518-14,106

Finding the Third Proportional to 10,518 and 14,106

Calculator

Solution

The third proportional to 10,518 and 14,106 is: 18,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518 : 14,106 = 14,106 : x
  2. Step 2: Convert to fraction form
    10,518/14,106 = 14,106/x
  3. Step 3: Cross multiply
    10,518x = 14,106 × 14,106
  4. Step 4: Simplify right side
    10,518x = 198,979,236
  5. Step 5: Solve for x
    x = 198,979,236/10,518
  6. Step 6: Final answer
    x = 18,917.97

Related Problems

Find third proportional to 5,259 and 7,053
Half scale
Find third proportional to 21,036 and 28,212
Double scale
Find third proportional to 10,520 and 14,109
Similar ratio
Find third proportional to 15,777 and 21,159
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.