Home / 5,970-8,459

Finding the Third Proportional to 5,970 and 8,459

Calculator

Solution

The third proportional to 5,970 and 8,459 is: 11,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 8,459 = 8,459 : x
  2. Step 2: Convert to fraction form
    5,970/8,459 = 8,459/x
  3. Step 3: Cross multiply
    5,970x = 8,459 × 8,459
  4. Step 4: Simplify right side
    5,970x = 71,554,681
  5. Step 5: Solve for x
    x = 71,554,681/5,970
  6. Step 6: Final answer
    x = 11,985.71

Related Problems

Find third proportional to 2,985 and 4,229.50
Half scale
Find third proportional to 11,940 and 16,918
Double scale
Find third proportional to 5,972 and 8,462
Similar ratio
Find third proportional to 8,955 and 12,688.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.