Home / 9,600-15,856

Finding the Third Proportional to 9,600 and 15,856

Calculator

Solution

The third proportional to 9,600 and 15,856 is: 26,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600 : 15,856 = 15,856 : x
  2. Step 2: Convert to fraction form
    9,600/15,856 = 15,856/x
  3. Step 3: Cross multiply
    9,600x = 15,856 × 15,856
  4. Step 4: Simplify right side
    9,600x = 251,412,736
  5. Step 5: Solve for x
    x = 251,412,736/9,600
  6. Step 6: Final answer
    x = 26,188.83

Related Problems

Find third proportional to 4,800 and 7,928
Half scale
Find third proportional to 19,200 and 31,712
Double scale
Find third proportional to 9,602 and 15,859
Similar ratio
Find third proportional to 14,400 and 23,784
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.