Home / 4,142-9,106

Finding the Third Proportional to 4,142 and 9,106

Calculator

Solution

The third proportional to 4,142 and 9,106 is: 20,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 9,106 = 9,106 : x
  2. Step 2: Convert to fraction form
    4,142/9,106 = 9,106/x
  3. Step 3: Cross multiply
    4,142x = 9,106 × 9,106
  4. Step 4: Simplify right side
    4,142x = 82,919,236
  5. Step 5: Solve for x
    x = 82,919,236/4,142
  6. Step 6: Final answer
    x = 20,019.13

Related Problems

Find third proportional to 2,071 and 4,553
Half scale
Find third proportional to 8,284 and 18,212
Double scale
Find third proportional to 4,144 and 9,110
Similar ratio
Find third proportional to 6,213 and 13,659
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.