Home / 1,952-4,178

Finding the Third Proportional to 1,952 and 4,178

Calculator

Solution

The third proportional to 1,952 and 4,178 is: 8,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952 : 4,178 = 4,178 : x
  2. Step 2: Convert to fraction form
    1,952/4,178 = 4,178/x
  3. Step 3: Cross multiply
    1,952x = 4,178 × 4,178
  4. Step 4: Simplify right side
    1,952x = 17,455,684
  5. Step 5: Solve for x
    x = 17,455,684/1,952
  6. Step 6: Final answer
    x = 8,942.46

Related Problems

Find third proportional to 976 and 2,089
Half scale
Find third proportional to 3,904 and 8,356
Double scale
Find third proportional to 1,954 and 4,182
Similar ratio
Find third proportional to 2,928 and 6,267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.