Home / 4,116-6,214

Finding the Third Proportional to 4,116 and 6,214

Calculator

Solution

The third proportional to 4,116 and 6,214 is: 9,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,214 = 6,214 : x
  2. Step 2: Convert to fraction form
    4,116/6,214 = 6,214/x
  3. Step 3: Cross multiply
    4,116x = 6,214 × 6,214
  4. Step 4: Simplify right side
    4,116x = 38,613,796
  5. Step 5: Solve for x
    x = 38,613,796/4,116
  6. Step 6: Final answer
    x = 9,381.39

Related Problems

Find third proportional to 2,058 and 3,107
Half scale
Find third proportional to 8,232 and 12,428
Double scale
Find third proportional to 4,118 and 6,217
Similar ratio
Find third proportional to 6,174 and 9,321
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.