Home / 3,712-4,176

Finding the Third Proportional to 3,712 and 4,176

Calculator

Solution

The third proportional to 3,712 and 4,176 is: 4,698

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 4,176 = 4,176 : x
  2. Step 2: Convert to fraction form
    3,712/4,176 = 4,176/x
  3. Step 3: Cross multiply
    3,712x = 4,176 × 4,176
  4. Step 4: Simplify right side
    3,712x = 17,438,976
  5. Step 5: Solve for x
    x = 17,438,976/3,712
  6. Step 6: Final answer
    x = 4,698

Related Problems

Find third proportional to 1,856 and 2,088
Half scale
Find third proportional to 7,424 and 8,352
Double scale
Find third proportional to 3,714 and 4,178
Similar ratio
Find third proportional to 5,568 and 6,264
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.