Home / 5,402-8,142

Finding the Third Proportional to 5,402 and 8,142

Calculator

Solution

The third proportional to 5,402 and 8,142 is: 12,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402 : 8,142 = 8,142 : x
  2. Step 2: Convert to fraction form
    5,402/8,142 = 8,142/x
  3. Step 3: Cross multiply
    5,402x = 8,142 × 8,142
  4. Step 4: Simplify right side
    5,402x = 66,292,164
  5. Step 5: Solve for x
    x = 66,292,164/5,402
  6. Step 6: Final answer
    x = 12,271.78

Related Problems

Find third proportional to 2,701 and 4,071
Half scale
Find third proportional to 10,804 and 16,284
Double scale
Find third proportional to 5,404 and 8,145
Similar ratio
Find third proportional to 8,103 and 12,213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.