Home / 7,411-13,178

Finding the Third Proportional to 7,411 and 13,178

Calculator

Solution

The third proportional to 7,411 and 13,178 is: 23,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411 : 13,178 = 13,178 : x
  2. Step 2: Convert to fraction form
    7,411/13,178 = 13,178/x
  3. Step 3: Cross multiply
    7,411x = 13,178 × 13,178
  4. Step 4: Simplify right side
    7,411x = 173,659,684
  5. Step 5: Solve for x
    x = 173,659,684/7,411
  6. Step 6: Final answer
    x = 23,432.69

Related Problems

Find third proportional to 3,705.50 and 6,589
Half scale
Find third proportional to 14,822 and 26,356
Double scale
Find third proportional to 7,413 and 13,182
Similar ratio
Find third proportional to 11,116.50 and 19,767
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.