Home / 4,194-5,862

Finding the Third Proportional to 4,194 and 5,862

Calculator

Solution

The third proportional to 4,194 and 5,862 is: 8,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 5,862 = 5,862 : x
  2. Step 2: Convert to fraction form
    4,194/5,862 = 5,862/x
  3. Step 3: Cross multiply
    4,194x = 5,862 × 5,862
  4. Step 4: Simplify right side
    4,194x = 34,363,044
  5. Step 5: Solve for x
    x = 34,363,044/4,194
  6. Step 6: Final answer
    x = 8,193.38

Related Problems

Find third proportional to 2,097 and 2,931
Half scale
Find third proportional to 8,388 and 11,724
Double scale
Find third proportional to 4,196 and 5,865
Similar ratio
Find third proportional to 6,291 and 8,793
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.