Home / 4,160-7,416

Finding the Third Proportional to 4,160 and 7,416

Calculator

Solution

The third proportional to 4,160 and 7,416 is: 13,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 7,416 = 7,416 : x
  2. Step 2: Convert to fraction form
    4,160/7,416 = 7,416/x
  3. Step 3: Cross multiply
    4,160x = 7,416 × 7,416
  4. Step 4: Simplify right side
    4,160x = 54,997,056
  5. Step 5: Solve for x
    x = 54,997,056/4,160
  6. Step 6: Final answer
    x = 13,220.45

Related Problems

Find third proportional to 2,080 and 3,708
Half scale
Find third proportional to 8,320 and 14,832
Double scale
Find third proportional to 4,162 and 7,420
Similar ratio
Find third proportional to 6,240 and 11,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.