Home / 4,160-5,956

Finding the Third Proportional to 4,160 and 5,956

Calculator

Solution

The third proportional to 4,160 and 5,956 is: 8,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 5,956 = 5,956 : x
  2. Step 2: Convert to fraction form
    4,160/5,956 = 5,956/x
  3. Step 3: Cross multiply
    4,160x = 5,956 × 5,956
  4. Step 4: Simplify right side
    4,160x = 35,473,936
  5. Step 5: Solve for x
    x = 35,473,936/4,160
  6. Step 6: Final answer
    x = 8,527.39

Related Problems

Find third proportional to 2,080 and 2,978
Half scale
Find third proportional to 8,320 and 11,912
Double scale
Find third proportional to 4,162 and 5,959
Similar ratio
Find third proportional to 6,240 and 8,934
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.