Home / 5,709-6,465

Finding the Third Proportional to 5,709 and 6,465

Calculator

Solution

The third proportional to 5,709 and 6,465 is: 7,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709 : 6,465 = 6,465 : x
  2. Step 2: Convert to fraction form
    5,709/6,465 = 6,465/x
  3. Step 3: Cross multiply
    5,709x = 6,465 × 6,465
  4. Step 4: Simplify right side
    5,709x = 41,796,225
  5. Step 5: Solve for x
    x = 41,796,225/5,709
  6. Step 6: Final answer
    x = 7,321.11

Related Problems

Find third proportional to 2,854.50 and 3,232.50
Half scale
Find third proportional to 11,418 and 12,930
Double scale
Find third proportional to 5,711 and 6,467
Similar ratio
Find third proportional to 8,563.50 and 9,697.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.