Home / 6,144-9,696

Finding the Third Proportional to 6,144 and 9,696

Calculator

Solution

The third proportional to 6,144 and 9,696 is: 15,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144 : 9,696 = 9,696 : x
  2. Step 2: Convert to fraction form
    6,144/9,696 = 9,696/x
  3. Step 3: Cross multiply
    6,144x = 9,696 × 9,696
  4. Step 4: Simplify right side
    6,144x = 94,012,416
  5. Step 5: Solve for x
    x = 94,012,416/6,144
  6. Step 6: Final answer
    x = 15,301.50

Related Problems

Find third proportional to 3,072 and 4,848
Half scale
Find third proportional to 12,288 and 19,392
Double scale
Find third proportional to 6,146 and 9,699
Similar ratio
Find third proportional to 9,216 and 14,544
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.