Home / 5,930-8,342

Finding the Third Proportional to 5,930 and 8,342

Calculator

Solution

The third proportional to 5,930 and 8,342 is: 11,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930 : 8,342 = 8,342 : x
  2. Step 2: Convert to fraction form
    5,930/8,342 = 8,342/x
  3. Step 3: Cross multiply
    5,930x = 8,342 × 8,342
  4. Step 4: Simplify right side
    5,930x = 69,588,964
  5. Step 5: Solve for x
    x = 69,588,964/5,930
  6. Step 6: Final answer
    x = 11,735.07

Related Problems

Find third proportional to 2,965 and 4,171
Half scale
Find third proportional to 11,860 and 16,684
Double scale
Find third proportional to 5,932 and 8,345
Similar ratio
Find third proportional to 8,895 and 12,513
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.