Home / 5,609-8,709

Finding the Third Proportional to 5,609 and 8,709

Calculator

Solution

The third proportional to 5,609 and 8,709 is: 13,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 8,709 = 8,709 : x
  2. Step 2: Convert to fraction form
    5,609/8,709 = 8,709/x
  3. Step 3: Cross multiply
    5,609x = 8,709 × 8,709
  4. Step 4: Simplify right side
    5,609x = 75,846,681
  5. Step 5: Solve for x
    x = 75,846,681/5,609
  6. Step 6: Final answer
    x = 13,522.32

Related Problems

Find third proportional to 2,804.50 and 4,354.50
Half scale
Find third proportional to 11,218 and 17,418
Double scale
Find third proportional to 5,611 and 8,712
Similar ratio
Find third proportional to 8,413.50 and 13,063.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.