Home / 3,470-4,214

Finding the Third Proportional to 3,470 and 4,214

Calculator

Solution

The third proportional to 3,470 and 4,214 is: 5,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470 : 4,214 = 4,214 : x
  2. Step 2: Convert to fraction form
    3,470/4,214 = 4,214/x
  3. Step 3: Cross multiply
    3,470x = 4,214 × 4,214
  4. Step 4: Simplify right side
    3,470x = 17,757,796
  5. Step 5: Solve for x
    x = 17,757,796/3,470
  6. Step 6: Final answer
    x = 5,117.52

Related Problems

Find third proportional to 1,735 and 2,107
Half scale
Find third proportional to 6,940 and 8,428
Double scale
Find third proportional to 3,472 and 4,216
Similar ratio
Find third proportional to 5,205 and 6,321
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.