Home / 5,311-8,399

Finding the Third Proportional to 5,311 and 8,399

Calculator

Solution

The third proportional to 5,311 and 8,399 is: 13,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311 : 8,399 = 8,399 : x
  2. Step 2: Convert to fraction form
    5,311/8,399 = 8,399/x
  3. Step 3: Cross multiply
    5,311x = 8,399 × 8,399
  4. Step 4: Simplify right side
    5,311x = 70,543,201
  5. Step 5: Solve for x
    x = 70,543,201/5,311
  6. Step 6: Final answer
    x = 13,282.47

Related Problems

Find third proportional to 2,655.50 and 4,199.50
Half scale
Find third proportional to 10,622 and 16,798
Double scale
Find third proportional to 5,313 and 8,402
Similar ratio
Find third proportional to 7,966.50 and 12,598.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.