Home / 9,900-15,906

Finding the Third Proportional to 9,900 and 15,906

Calculator

Solution

The third proportional to 9,900 and 15,906 is: 25,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900 : 15,906 = 15,906 : x
  2. Step 2: Convert to fraction form
    9,900/15,906 = 15,906/x
  3. Step 3: Cross multiply
    9,900x = 15,906 × 15,906
  4. Step 4: Simplify right side
    9,900x = 253,000,836
  5. Step 5: Solve for x
    x = 253,000,836/9,900
  6. Step 6: Final answer
    x = 25,555.64

Related Problems

Find third proportional to 4,950 and 7,953
Half scale
Find third proportional to 19,800 and 31,812
Double scale
Find third proportional to 9,902 and 15,909
Similar ratio
Find third proportional to 14,850 and 23,859
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.