Home / 7,772-19,142

Finding the Third Proportional to 7,772 and 19,142

Calculator

Solution

The third proportional to 7,772 and 19,142 is: 47,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772 : 19,142 = 19,142 : x
  2. Step 2: Convert to fraction form
    7,772/19,142 = 19,142/x
  3. Step 3: Cross multiply
    7,772x = 19,142 × 19,142
  4. Step 4: Simplify right side
    7,772x = 366,416,164
  5. Step 5: Solve for x
    x = 366,416,164/7,772
  6. Step 6: Final answer
    x = 47,145.67

Related Problems

Find third proportional to 3,886 and 9,571
Half scale
Find third proportional to 15,544 and 38,284
Double scale
Find third proportional to 7,774 and 19,147
Similar ratio
Find third proportional to 11,658 and 28,713
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.