Home / 5,402-7,707

Finding the Third Proportional to 5,402 and 7,707

Calculator

Solution

The third proportional to 5,402 and 7,707 is: 10,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402 : 7,707 = 7,707 : x
  2. Step 2: Convert to fraction form
    5,402/7,707 = 7,707/x
  3. Step 3: Cross multiply
    5,402x = 7,707 × 7,707
  4. Step 4: Simplify right side
    5,402x = 59,397,849
  5. Step 5: Solve for x
    x = 59,397,849/5,402
  6. Step 6: Final answer
    x = 10,995.53

Related Problems

Find third proportional to 2,701 and 3,853.50
Half scale
Find third proportional to 10,804 and 15,414
Double scale
Find third proportional to 5,404 and 7,710
Similar ratio
Find third proportional to 8,103 and 11,560.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.