Home / 5,398-6,142

Finding the Third Proportional to 5,398 and 6,142

Calculator

Solution

The third proportional to 5,398 and 6,142 is: 6,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398 : 6,142 = 6,142 : x
  2. Step 2: Convert to fraction form
    5,398/6,142 = 6,142/x
  3. Step 3: Cross multiply
    5,398x = 6,142 × 6,142
  4. Step 4: Simplify right side
    5,398x = 37,724,164
  5. Step 5: Solve for x
    x = 37,724,164/5,398
  6. Step 6: Final answer
    x = 6,988.54

Related Problems

Find third proportional to 2,699 and 3,071
Half scale
Find third proportional to 10,796 and 12,284
Double scale
Find third proportional to 5,400 and 6,144
Similar ratio
Find third proportional to 8,097 and 9,213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.